Answer:
Dilate it by a scale factor of 5
Answer:
Step-by-step explanation:
$16.000 is deposited into a savings account with an annual interest rate of 2% compounded continuously. How much will be in the
account after 4 years?
Round to the nearest cent.
$17.280.00
$17.332.59
$35,608.65
$65.292.88
Answer:
A) $17,332.59
Step-by-step explanation:
$16,000(e^(0.02[or 2%] * 4)) = $16,000(e^0.08)
e^0.08 = 1.08328706767 * $16,000 ≈ $17,332.59
the amount in the account after 4 years would be approximately $18,252.85.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, For calculate the amount of money in the account after 4 years with a continuous compounding interest rate of 2%, we can use the formula:
⇒ [tex]A = Pe^{rt}[/tex]
Where A is the final amount in the account, P is the initial deposit, e is Euler's number (approximately 2.71828), r is the annual interest rate as a decimal, and t is the time in years.
In this case, we have:
P = $16,000
r = 0.02
t = 4 years
Therefore, we can calculate the final amount in the account as:
⇒ A = [tex]$16,000 e^{0.02 * 4}[/tex]
⇒ A = [tex]$16,000 e^{0.08}[/tex]
⇒ A = $18,252.85
So, the amount in the account after 4 years would be approximately $18,252.85.
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Please help me The difference of two numbers is 9. If the larger number is one more than twice the smaller number, find the lager number
Answer:
17
Step-by-step explanation:
Let the larger number be represented by x
Let the smaller number be represented by y
from the question, the next equations can be gotten :
x - y = 9 equation 1
x = 1 + 2y equation 2
Substitute for x in equation 1
1 + 2y - y = 9
1 + y = 9
Collect like terms
y = 9 - 1
y = 8
Substitute for y in equation 1 and solve for x (the larger number)
x - 8 = 9
x = 9 + 8
x = 17
What number is 0.68 more than 0.44?
Answer:
1.12
Step-by-step explanation:
0.68 + 0.44 = 1.12
Which Value of X is not a solution to 3x-1<5 OR
7-x ≤3?
A. 0
B. 2
C. 4
D. 5
RECT is a rectangle. Find x.
2.
Write a function rule for the table.
A. c = 18d + 11
B. c = 18d + 18
C. c = 11d + 18
D. c = 18d
Answer:
A. c = 18d + 11
Step-by-step explanation:
From the given table, we have two points : (1,29) and (2,47).
Now let us use slope formula to find the slope :
slope =18
Now we use point slope form to get the final equation.
Using point (1,29) and slope 18,
So final equation becomes c=18d +11
The answer is the Third solution.
example:
C = (18 × 2) + 11
C = 36 + 11
C = 47
how do I find the ratio
Answer:
Ratios are like fractions. It is one part divided by the total amount of parts.
Step-by-step explanation:
for example there are 2 boys and 5 girls
so the ratio of boys to girls is 2:5
Find the product of this and simplify this: 2/5x5/1
2) What is the value of x? *
15.5
25.5
31
47
Step-by-step explanation:
2∠BDA = ∠BCA
2 (3x - 15)° = (2x + 32)°
6x - 30 = 2x + 32
6x - 2x = 32 + 30
4x = 62
x = 62/4
x = 15.5
#CMIIWwrite the reciprocal of the following numbers.
Number: 7/10. Reciprocal______
Number: 1/2. Reciprocal______
Number: 5. Reciprocal_______
Answer:
7/10 = 10/7
1/2 = 2/1
5 = 1/5
Step-by-step explanation:
The reciprocal is the flip of a fraction. 1/2 = 2/1
For a whole number (like 5) you put it over 1 (5/1) and then flip it (1/5)
Have a nice day! :)
Make me brainliest.
Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
9.8
Step-by-step explanation:
To solve, use the Pythagorean Theorem: a² + b² = c² or c² - b² = a².
"a" and "b" are both legs of the right triangle. "c" is the hypotenuse. In this case, we need to use this formula: 14² - 10² = a² or 196 - 100 = a². This simplifies to 96 = a². This can simplify further to 9.79795897 = a. Round this to the nearest tenth: 9.8 = a.
Hope it helps!
Multiply (9x + 2) (2x - 3). What is the product?
Answer:
18x^2-23x-6
Step-by-step explanation:
multiply: 9x*2x-9x*3+2*2x-2*3
18x^2-9X(3)3+2(2X)-2(3)
18X^2-27x+4x-6
18x^2-23x-6
A botanist collected data on the growth of sunflowers to maturity. She modeled the equation y=x+1/2 for the line of best fit
Answer:
The y intercept is 1/2
i.e. The starting height is 1/2
Step-by-step explanation:
Given
[tex]y =x + \frac{1}{2}[/tex]
Required
Determine the y intercept --- Missing
At y intercept: [tex]x = 0[/tex]
So:
[tex]y =x + \frac{1}{2}[/tex]
Substitute [tex]x = 0[/tex]
[tex]y = 0 + \frac{1}{2}[/tex]
[tex]y = \frac{1}{2}[/tex]
The y intercept is 1/2
Solve one of the above questions to be marked as Brainliest
Plz nb 1, 2,3,4 especially
Answer:
Here's what I think I know:
1) the Voltage and the Resistance
2) Watts = Amps x Volts
so: 6 watts = A x 12, A = 0.5
Volts = Amps x Resistance
12 = 0.5 x R
R = 24 ohms
3) From step 2, A = 0.5 amps
4) since this is a series circuit, Re = Rh + 24
Step-by-step explanation:
[Inequalities]
Please help and thanks. 1
write the inequality pls.
Answer:
1. x≥-2
2. x<-2
Step-by-step explanation:
Answer:
1. n≥=-2
2. n<=-2
Step-by-step explanation:
hope this helps!! <33
Who can help me out with this please????
Answer:
63
Step-by-step explanation:
9x7=63
Learn with an example
Select the expressions that are equivalent to 8(f + 3).
24f + 8
8f + 24
8(3 + 1)
(3 + 1/8
A tiny house has a length of 12 feet. The width of the kitchen is 9 feet and the width of the bathroom is 3 feet. The expersion 12(9+3) repersents the total area in square feet.
Answer:
144
Step-by-step explanation:
The total area of the first floor is required.
The area of the floor is 144ft^2.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
given that,
A tiny house has a length of 12 feet. The width of the kitchen is 9 feet and the width of the bathroom is 3 feet. The expersion 12(9+3) represents the total area in square feet.
we have,
The length of the room is 12 feet
Width of the room is:
9+3 = 12
Area is the product of length and width
A = 12(9+3)
Applying the distributive property
A = 12(9+3)
= 12 * 9 + 12 * 3
= 108 + 36
= 144
The area of the floor is 144ft^2.
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Fred is making a wooden box in the shape of a right rectangular prism. The dimensions of the box are 12 inches by 4 1/4 inches by 4 1/4 inches. What is the volume of the wooden box?
Answer:
867/4 in3
Step-by-step explanation:
v= l*w*h= 12* 17/4* 17/4
= 51*17/4 = 867/4 in3
if my answer helps please mark as brainliest.
Answer:
[tex]V=216\frac{3}{4} in^{3}[/tex]
Step-by-step explanation:
The formula for volume of a rectangular prism is V = w × h × l, where
V represents the volume
w represents width
h represents height
l represents length
So, all we have to do to find volume is multiply these three values together, like this:
V = 12 × [tex]4\frac{1}{4}[/tex] × [tex]4\frac{1}{4}[/tex]
[tex]V=(12)(\frac{17}{4} )(\frac{17}{4} )[/tex]
Then we multiply all the numerators:
[tex]V =\frac{867}{4}[/tex]
[tex]V=216\frac{3}{4} in^{3}[/tex]
A triangle has sides with lengths of 7 millimeters, 14 millimeters, and 15 millimeters. Is it a right triangle
Answer:
Step-by-step explanation:
Property of a right triangle,
(Hypotenuse)² = (leg 1)² + (leg 2)²
If the length of sides of the given triangle are 7mm, 14mm and 15mm.
(15)² = (7)² + (14)²
225 = 49 + 196
225 = 245
False
Therefore, the given triangle is not a right triangle.
HELP ASAP PLZ PLZ PLZ I GIVE BRAINLIEST
Answer:
12
Step-by-step explanation:
We can see that the base TA is 4, and the second base RS is 2. We can see that the height is 4. The area of a trapezoid is:
[tex]A=\frac{h(b_1+b_2)}{2}[/tex]
Using this, we can substitute, and get:
[tex]A=\frac{4\cdot(2+4)}{2} = \frac{24}{2} = 12[/tex]
Hope it helps!!
Write the series using summation notation.
9+29+129+...
go follow my friends on Snap.........
iminmymomscar_v itprettyalex old_creamcheese purplehawk_3000 dlowgetsmoney aj-0218
(15-17) (Purple Hawk_ 3000 is 21)
Answer:
i got you
Step-by-step explanation:
Answer: OK
Step-by-step explanation:
OK
Blueberries are $5.99 a pound Diego buys pounds of blueberries and pays 16.95 write an equation to represent the problem
Answer:
Step-by-step explanation:5.99x-16.95=
the first three terms of sequence are given round the nearest thousandth if necessary
12,15,18,..
Find the 32nd term
Answer:
105
Step-by-step explanation:
It is increasing by 3 everytime.
So you just use that and write down all numbers in order ascending to the 32nd term.
I'd list them all but I don't think you wanna read all of it.
Hope this helps.
In ΔNOP, the measure of ∠P=90°, the measure of ∠N=39°, and PN = 72 feet. Find the length of OP to the nearest tenth of a foot.
Answer:
114.4 feet
Step-by-step explanation:
In ΔNOP, the measure of ∠P=90°, the measure of ∠N=39°, and PN = 72 feet. Find the length of OP to the nearest tenth of a foot.
We solve using Sine rule
= OP/sin P = PN/ sin N
= OP/ sin 90 = 72/sin 39
Cross Multiply
OP × sin 39 = sin 90 × 72
OP = sin 90 × 72/sin 39
OP = 114.41 feet
Approximately = 114.4 feet
Answer:
110
Step-by-step explanation:
pls help i dont get how to do it i only know how to plug in but how do u decide which one?
Answer:
-4,2
Step-by-step explanation:
gskskdmdj
hope it helps
Please help. TYSM <3
The ratio of two numbers is 4 to 7. The sum of the numbers is 253. Find the
two numbers.
Answer:
28 and 49 are the two numbers whose sum is 77.
Step-by-step explanation:
Anna, Stephanie, and James all start running around a track at 8:00. Anna completes a lap every 4 minutes, Stephanie finishes a lap every 7 minutes, and James finishes a lap every 6 minutes. What is the earliest time when all three meet back at the beginning?
Answer:9:24
Step-by-step explanation:
We know that they will meet some time $T$ after 8:00 and that $T$ must be a multiple of 4, 7, and 6. So our job is to find the smallest multiple of those three numbers. Since 4 and 7 share no factors, the first number that is a multiple of both will be $4\cdot7=28$. Next, we must find the smallest multiple of 28 and 6. We can do this in two ways: by listing multiples of 28 until we find one that is a multiple of 6 or by finding what factors of 6 that 28 is missing and multiplying by those factors.
Method 1: The multiples of 28 go 28 (not divisible by 6), 56 (not divisible by 6), 84 (which is divisible by 6!)... So the smallest multiple of 4, 7, and 6 is 84.
Method 2: The factors of 6 are 1,2,3, and 6, so we can write 6 as $2\cdot3$. 28 is divisible by 2 but not by 3, so we must multiply it by 3. We find $28\cdot3=84$ and 84 is therefore the smallest multiple of 4, 7, and 6.
Now we just need to find the time that is 84 minutes after 8:00. Since 9:00 is 60 minutes after 8:00, we just need 24 more minutes after that (since $60+24=84$). The final time is therefore $\boxed{9:24}.$
Hence, the earliest time when all three meet back at the beginning is [tex]9:24[/tex].
What is the division?
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers.
Here given that,
Anna, Stephanie, and James all start running around a track at [tex]8:00[/tex]. Anna completes a lap every [tex]4[/tex] minutes, Stephanie finishes a lap every [tex]7[/tex] minutes, and James finishes a lap every [tex]6[/tex] minutes.
So, the smallest multiple of [tex]4, 7[/tex] and [tex]6[/tex] is [tex]84[/tex].
Now we just need to find out the time is [tex]84[/tex] minutes so after [tex]8:00[/tex], it would be [tex]9:00[/tex] is [tex]60[/tex] minutes then after [tex]8:00[/tex], we need to move [tex]24[/tex] minutes more after that. The final time is [tex]9:24[/tex].
Hence, the earliest time when all three meet back at the beginning is [tex]9:24[/tex].
To know more about the division
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Find the value of x????
Step-by-step explanation:
m∠1 + m∠2 = 180°
(4x - 20) + (x - 15) = 180°
4x + x - 20 - 15 = 180°
5x - 35 = 180°
5x = 180° + 35°
5x = 215°
x = 215/5
x = 43°
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