Answer:
40 years.
Step-by-step explanation:
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
Brayden saves $1,500 at a yearly simple interest rate of 2.5%.
This means that [tex]P = 1500, I = 0.025[/tex]
How many years does it take for the amount he has saved to be double the original amount?
This will happen when the earned money is the principal, that is, E = 1500. So
[tex]E = P*I*t[/tex]
[tex]1500 = 1500*(0.025)*t[/tex]
[tex]t = \frac{1}{0.025}[/tex]
[tex]t = 40[/tex]
40 years.
Answer:
Step-by-step explanation:
40 years.
Step-by-step explanation:
The simple interest formula is given by:
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
Brayden saves $1,500 at a yearly simple interest rate of 2.5%.
This means that
How many years does it take for the amount he has saved to be double the original amount?
This will happen when the earned money is the principal, that is, E = 1500. So
Finalssss!!!!
Please help ASAP!!!!!!!
Answer/Step-by-step explanation:
The figure given shows two triangles.: ∆ADB has two equal base angles while ∆BCD has three equal angles. Therefore, based on their angles, we can conclude that:
∆ADB is an isosceles triangle
∆BCD is an equilateral triangle
Before we add up he outside lengths of Quadrilateral ABCD to find the perimeter, let's recall three properties of each triangle:
Isosceles triangle:
-Has two equal base angles
-The two sides opposite the two equal base angles are also equal to each other
-the their side (base) is unequal to the other
Equilateral triangle:
-Has three equal angles
-Has three equal sides
-Each angle measures 60°
Using these properties, we can determine the outside lengths of quadrilateral ABCD:
AB = 21 (given)
AD = 17 (given)
AD = BD = 17 (equal sides of ∆ADB)
BD = 17
BD = BC = CD = 17 (properties of equilateral triangle)
BC = 17
CD = 17
✔️Perimeter of Quadrilateral ABCD = AB + BC + CD + AD = 21 + 17 + 17 + 17
Perimeter = 72 units
find the roots of y = x^2 + 4x-115
Answer:x=−2±√119
Step-by-step explanation:
if the sum of two consecutive odd number is 20 find the number
Answer:
Step-by-step explanation:
let a number be x
let another number be x+1
x+x+1=20
2x=20-1
x=19/2
x=9.5
therefore one number is 9.5 and another number is x+1=9.5+1=10.5
[tex]\huge{ \mathrm{ \underline{ Answer} \: \: ✓ }}[/tex]
Let the Consecutive odd numbers be x and x+2
[tex]x + x + 2 = 20[/tex][tex]2x = 20 - 2[/tex][tex]2x = 18[/tex][tex]x = 9[/tex]Therefore, the numbers are :
[tex]x = 9[/tex][tex]x + 2 = 11[/tex]______________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
A shirt requires 3/4 of a yard of material. How many shirts can be made from 18 yards of material?
Answer:
24
Step-by-step explanation:
18/ 3/4=24
NEED HELP DUE IN 2 MINUTES!!!!
A food company is designing boxes for several products. Each box is a rectangular prism.The company also wants to offer a family size box of cereal. The family size box will be a dilation of the single serving 1.2-ounce box. It must contain 18.75 ounces of cereal. What scale factor does the company need to use for the family size box?
Answer:
the ratio of white tiles to blue tiles is 48
Step-by-step explanation:
The scale factor does the company need to use for the family size box is 1.56.
What is a scale factor?A scale factor is the number by which all the components of an object are multiplied in order to create a proportional enlargement or reduction.
According to the question
A food company is designing boxes for several products. Each box is a rectangular prism.
The family size box will be a dilation of the single serving 1.2-ounce box.
It must contain 18.75 ounces of cereal.
For finding scale factor divide 18.75 by 12
= [tex]\frac{18.75}{12}[/tex]
= 1.56
Hence, the scale factor does the company need to use for the family size box is 1.56.
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Corvert 412% in a fraction
Answer:
103/25
Step-by-step explanation:
412% = 4.12 = 103/25
Answer:
4.12
Step-by-step explanation:
remove the '%' sign and then move the decimal two places to the left
other examples:
5% = .05
4.5% = .045
123% = 1.23
.9% = .009
8(2n - 5) = 3(6n - 2)
Answer:
n=-17
Step-by-step explanation:
8(2n-5)=3(6n-2)
1) Distributive property
16x-40=18x-6
16x−40=18x−6
2) Subtract 16x16x from both sides.
-40=18x-6-16x
−40=18x−6−16x
3) Simplify 18x-6-16x18x−6−16x to 2x-62x−6.
-40=2x-6
−40=2x−6
4) Add 66 to both sides.
-40+6=2x
−40+6=2x
5) Simplify -40+6−40+6 to -34−34.
-34=2x
−34=2x
6) Divide both sides by 22.
-\frac{34}{2}=x
−
2
34
=x
7) Simplify \frac{34}{2}
2
34
to 17
−17=x
8) Switch sides.
x=−17
find the area and perimeter of the rectangular image with length 12 cm and width 11 cm
The obtuse angle between the hands of a clock at 2.30 a.m is:
A 105°
B 120°
C 135°
D 150°
E 165°
Answer:
c
Step-by-step explanation:
The height of the triangle is 4 inches less than four times its
base. The area of the triangle is 112 in2. What is the height of
the triangle?
Answer:
Let base = b
Given height, h is 4inches less than base. So h = b - 4
[tex]Area = \frac{1}{2} \times base \times height\\\\112 = \frac{1}{2} b \times(b-4)\\224 = b(b -4)\\b^2 - 4b -224 = 0\\\\b= \frac{4 \pm \sqrt{16 - (4\times -224)} }{2} \\\\\\b= \frac{4 + \sqrt{16 +896 } }{2} , b= \frac{4 - \sqrt{16 +896} }{2} \\\\\\b = 17.099 , -13.099[/tex]
Since length can't be negative, we take b = 17.099inches
Height ,h = b - 4 = 13.099 inches ≈ 13.1 inches
URGENT!
Find the value of x for which ABCD must be a parallelogram.
3
9
1
41
Answer and Step-by-step explanation:
To find the value of x, set the sides BC and AD equal to each other (we can do this because we are told that the figure is a parallelogram, and those sides are congruent as stated in the properties of a parallelogram).
16x - 15 = 30 + 11x
Subtract 11x from both sides of the equation.
5x - 15 = 30
Add 15 to both sides of the equation.
5x = 45
Divide both sides of the equation by 5.
x = 9
So, the answer is 9, which is equal to x.
#teamtrees #PAW (Plant And Water)
Answer:
x = 1.67
Step-by-step explanation:
We know that in a parallel, opposite sides are parallel and congruent, therefore we can solve for x, by:
(BC) = (AD)
16x - 15 = 30 - 11x
(+11x) + 16x - 15 = 30
27x - 15 = 30
27x = 45
x = 45/27
x = 1.67
Therefore, x = 1.67
Hope this helps!
HELP
Ida's ice-cream stand has increasing profits each week during the hot summer months. Ida finds that each week during the summer her profits increase by 15% over what they were the previous week. In her first week of business, her profits were $600. How much money will she make in all over 5 weeks?
Enter your answer, rounded to the nearest dollar, in the box.
Answer: $4045.43
Step-by-step explanation: I just took the test.
The amount of money Ida will make in all over 5 weeks will be $4556.25.
What is Profit?The amount of money earned by any seller on the cost price is called the profit. It is given that Ida's ice-cream stand has increasing profits each week during the hot summer months. Ida finds that each week during the summer her profits increase by 15% over what they were the previous week.
The amount will be calculated as follows:-
A = 600 ( 1.15 ) ⁵
A = $4556.25
Therefore the amount of money Ida will make in all over 5 weeks will be $4556.25.
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Emily has plum trees in her backyard.
Eeach year she uses the fruit to make jelly.
Here are the ingredients for her recepie.
4 pounds of pluma
3 pounds of sugar
1 cup of water
This recepie makes 6 pounds of jelly.
How many pounds of plums will she need to make 24 pounds of jelly?
Show how you figured this out.
Answer:
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
she needs 4 pounds of pluma to make 6 pounds of jelly.
so 4 pounds of pluma x 4 = exactly 24 pounds of jelly. 4×4=16
A company want to find out if there is a linear relationship between indirect labor expense (ILE), in dollars, and direct labor hours (DLH). Data for direct labor hours and indirect labor expense for 10 months are given. Approximately what percentage of the variation in indirect labor expenses is explained by the regression model you derived?
DLH(X) ILE(Y)
20 361_0
25 400
22 376
23 384
20 361_0
19 360
24 427.2
28 458.4
26 450_8
29 475.2
Answer:
y = 115.0977+12.2992X
91.59%
Step-by-step explanation:
Given :
DLH(X) ILE(Y)
20 361_0
25 400
22 376
23 384
20 361_0
19 360
24 427.2
28 458.4
26 450_8
29 475.2
DLH (X) : Direct Labor Hours
ILE (Y) : Indirect Labor Expense
The regression model obtained by fitting the data using technology is :
y = 115.0977+12.2992X
Where ;
Intercept = 115.0977 ;
Slope = 12.2992
The Coefficient of determination, R² gives the proportion of explained variance due to the regression line.
For the data given above, the Coefficient of determination R² obtained using the Coefficient of determination calculator is 0.9159 ; which means that (0.9159 * 100%) about 91.59% of the variation in indirect labor expense is explained by the regression line while 8.41% is due to other factors.
pleeeaaaaasssnnsnsnsnnanannananannanamnanw
Answer:
Angle PQR = 120°
Step-by-step explanation:
plwjahajsjwjjee helppppp!!
Answer:
30% of total students chose snowboarding as their favorite sport.
Step-by-step explanation:
We know that;
=> Total people = 500
=> Snowboarding people = 105
=> Percentage = unknown, so we can say it as x
So we can set up the equation;
x% · 500 = 105
[tex]\frac{x}{100}[/tex] · 500 = 105
x · 5 = 105
x = 105/5
x = 30
So 30% of total students chose snowboarding as their favorite sport.
Hope this helps!
What is the surface area of a rectangular prism that has a height of 5 cm, a width of 10 cm, and a depth of 4 cm?
A rectangular prism with length of 10 centimeters, width of 4 centimeters, and height of 5 centimeters.
Answer:
the surface area is 220
Step-by-step explanation:
:)
What does burning fossil fuels release into the air?
When fossil fuels are burned, they release nitrogen oxides into the atmosphere, which donate to the formation of smog and acid rain. Major sources of nitrogen oxide emissions include: Cars and trucks. Coal-fired power plants.
Step-by-step explanation:
Answer:
carbon dioxide
Step-by-step explanation:
took the test
Norton can mow the large lawn in about 5 hours. When he works with
Jesse, they can mow the same lawn together in about 3 hours. Which of
the following equations can be used to determine how long it would
take Jesse to mow the lawn by himself?
total. jobs
job. A
time. together time time
job. B
Answer:
7.5 hours
Step-by-step explanation:
The key here is to find out how much can be done in the same amount ot time
the least common multiple of 5 hrs and 3 hrs is 15hrs
In 15 hours:
- At 5 hours per lawn Norton could mow 15/5 = 3 lawns
- At 3 hours per lawn together thay could mow 15/3 = 5 lawns
In 15 hours Jesse would mow 5 - 3 = 2 lawns
15 hours/ 2 lawns = 7.5 hours per lawn
7.5 hours
--------------------
Here's the math
1 lawn/5hrs + x = 1 lawn / 3hrs
1/5 + x = 1/3
Subtract 1/5 from both sides
x = 1/3 - 1/5
x = 5/15 - 3/15
x = 2/15
x = 2lawns/15 hrs
15hrs/2lawns = 7.5 hrs per lawn
7.5 hours
Company X tried selling widgets at various prices to see how much profit they would
make. The following table shows the widget selling price, x, and the total profit earned
at that price, y. Calculate the quadratic regression equation for this set of data. Using
this equation, find the profit, to the nearest dollar, for a selling price of 10.25 dollars.
Answer:
7263
Step-by-step explanation:
Using technology, the quadratic regression function which models the data in the form ax² + bx + c is written thus ;
f(x) = -147.30x² + 3231.00x - 8213.66Profit earned on $10.25 is $9428.38The quadratic regression function is a polynomial of degree 2. Where, x represents the widget selling price and y represents the total profit earned.
The predicted profit made on a widget selling price of $10.25 can be calculated by substituting x = 10.25 into the equation :
f(10.25) = -147.30(10.25)² + 3231.00(10.25) - 8213.66
f(10.25) = 9428.38
Therefore, the widget selling price is $9428.38
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a rectangular area of 24000 square feet is to be fenced on all four sides. fencing east and west sides cost $10 per foot fencing for the other two sides cost $20 per foot. what s the cost of least expensive
Answer:
C(min) = 8763.4 $
Step-by-step explanation:
Area = 24000 ft²
In a rectangle, A = x * y x is the base side and y the height side
Cost of low and upper side (x) is 20 $ per foot
Cost of east and west sides ( y) is 10 $per ft
total cost is:
C(r) = 2 * 20* x + 2* 10* y
from A = x * y y = A / x y = 24000 / x
And by substitution in C(r) we get:
C(x) = 2 * 20* x + 2* 10* 24000 / x
C(x) = 40 * x + 480000 / x
Tacking derivatives on both sides of the equation:
C´(x) = 40 - 480000 / x²
C´(x) = 0 40 - 480000/x² = 0
40* x² - 480000 = 0
x² = 480000 / 40
x² = 12000
x = √ 12000 = 109,54 ft
and y = 24000 / 109,54
y = 219,09 ft
Chequing for second derivative
C´´(x) = 480000 / x⁴ is always positive so we have a minimum of C at the value x = 109,54
Minimum cost C (min) = 40* 109,54 + 20 * 219,09
C(min) = 4381.6 + 4381.8
C(min) = 8763.4 $
What is the larger amount when $1200 is divided in the ratio 4: 1?
4x + x = 1200
5x = 1200
x = 12 × ( 100 ÷ 5 )
x = 12 × 20
x = 240
______________________________
Larger : 4 × 240 = $ 960
lower : 1 × 240 = $ 240
Which of the following statements is not true regarding the function y = 2"?
A. The function is an exponential function.
B. The function has a domain of all real numbers.
C. As the value of x gets very large, the value of y gets close to zero.
D. As the value of x increases by one, the value of y doubles.
What is the product (-2a^2+s)(5a^2 -6s)
PLS HELP
Answer:
-10a^4 + 17a^2s - 6s^2
in other words, your answer is the first one
Answer:
-10a^4 +17a^2s-6s^2
Step-by-step explanation:
see Image below:)
The triangular pyramid represented below has a triangular base of 15 centimeters and a triangular height of 20 centimeters. The height of the pyramid is 18 centimeters. What is the volume in cubic centimeters of the pyramid?
Can someone help me please
Answer:
The length would be 25/5 which is 4.8
Answer:
l=8 or -3
Step-by-step explanation:
You can write this into an equation!
It will be l*(l-5)=24
Now, we can just solve.
We have to expand the equation and so on.
Sandi randomly selects a single bill from an envelope containing 8 ones, 5 fives, 4 tens, and 3 twenties. What is the expected value of the money she selects
Answer:
The expected value of the money she selects is 6.65.
Step-by-step explanation:
Expected value:
Sum of each outcome multiplied by its probability.
We have:
8 + 5 + 4 + 3 = 20 total bills.
8 are ones, so P(X = 1) = 8/20 = 0.4.
5 are fives, so P(X = 5) = 5/20 = 0.25.
4 are tens, so P(X = 10) = 4/20 = 0.2
3 are twenties, so P(X = 20) = 3/20 = 0.15.
What is the expected value of the money she selects?
[tex]E(X) = 0.4*1 + 0.25*5 + 0.2*10 + 0.15*20 = 6.65[/tex]
The expected value of the money she selects is 6.65.
A rectangle has an area of 19.38 cm2. When both the length and width of the rectangle are increased by 1.50 cm, the area of the rectangle becomes 35.28 cm2. Calculate the length of the longer of the two sides of the initial rectangle.
Answer: [tex]5.7\ cm[/tex]
Step-by-step explanation:
Given
Rectangle has an area of [tex]19.38\ cm^2[/tex]
Suppose rectangle length and width are [tex]l[/tex] and [tex]w[/tex]
If each side is increased by [tex]1.50\ cm[/tex]
Area becomes [tex]A_2=35.28\ cm^2[/tex]
We can write
[tex]\Rightarrow lw=19.38\quad \ldots(i)\\\\\Rightarrow (l+1.5)(w+1.5)=35.28\\\Rightarrow lw+1.5(l+w)+1.5^2=35.28\\\text{use (i) for}\ lw\\\Rightarrow 19.38+1.5(l+w)=35.28-2.25\\\Rightarrow l+w=9.1\quad \ldots(ii)[/tex]
Substitute the value of width from (ii) in equation (i)
[tex]\Rightarrow l(9.1-l)=19.38\\\Rightarrow l^2-9.1l+19.38=0\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{(-9.1)^2-4(1)(19.38)}}{2\times 1}\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{5.29}}{2}\\\\\Rightarrow l=\dfrac{9.1\pm2.3}{2}\\\\\Rightarrow l=3.4,\ 5.7[/tex]
Width corresponding to these lengths
[tex]w=5.7,\ 3.4[/tex]
Therfore, we can write the length of the longer side is [tex]5.7\ cm[/tex]
Convert the following angle from degrees to radians. Express your answer in simplest form. 120
QUESTION IN PICTURE thx <3
Answer:
7 1/9
Step-by-step explanation:
because I know i'm right
Answer:
Answer in Improper fraction: 64/9
Answer is Mixed number: 7 1/9
In decimal form: 7.11111111111111111111111111111111111111 (Forever, you get the picture)
Step-by-step explanation:
Improper fraction form:
8/3*8/3= 64/9
Hope this helps!