Answer:19.4
Step-by-step explanation:
A=P(1+\frac{r}{n})^{nt}
A=P(1+
n
r
)
nt
A=6500 \hspace{15px} P=3000 \hspace{15px} r=0.04 \hspace{15px} t=?
A=6500P=3000r=0.04t=?
n=4\text{ (quarterly)}
n=4 (quarterly)
6500=3000(1+\frac{0.04}{4})^{4t}
6500=3000(1+
4
0.04
)
4t
6500=3000(1.01)^{4t}
6500=3000(1.01)
4t
\frac{6500}{3000}=\frac{3000(1.01)^{4t}}{3000}
3000
6500
=
3000
3000(1.01)
4t
2.1666667=(1.01)^{4t}
2.1666667=(1.01)
4t
\log(2.1666667)=\log((1.01)^{4t})
log(2.1666667)=log((1.01)
4t
)
\log(2.1666667)=4t\log(1.01)
log(2.1666667)=4tlog(1.01)
Power Rule.
\frac{\log(2.1666667)}{4\log(1.01)}=\frac{4t\log(1.01)}{4\log(1.01)}
4log(1.01)
log(2.1666667)
=
4log(1.01)
4tlog(1.01)
t=\frac{0.3357921}{0.0172855}
t=
0.0172855
0.3357921
t=19.42624\approx 19.4 \text{ years}
t=19.42624≈19.4 years
Determine triangle type?
Answer:
scalene right
Step-by-step explanation:
all side are opposite and there is a 90% so that makes it right
the question is on the sheet
4316 rounded to the nearest 100
4300
6 is ones
1 is tens
3 is hundreds
4 is thousands
therefore the answer is 4300
If 4316 is rounded to the nearest 100 then its value will be, 4300
What is Rounding of a number ?Rounding means making a number simpler but keeping its value nearby original value.
Rules for rounding nearest 100:-
1. If the number's final two digits are 50 or higher, we round it up to the next hundred.
2. If the number's final two digits are 49 or less, we round it down to the closest hundred.
3. If the final two numbers are 00, there is no need to round because the number is already one hundred.
We have given number, 4316
Number's final two digits are less than 49
Hence, The rounded value is 4300
To know more about Rounding check:
https://brainly.com/question/29878750
#SPJ2
Helppppppppppppppppppp
Answer:
∠KYR = 43 degrees
Step-by-step explanation:
1. We know that the entire angle equals to 90 degrees because it is a right angle.
First you have to find the value of c and to do this, you add the values of both angles and make it equal to 90
3c + 64 + 5c + 82 = 90]
8c + 146 = 90
- 146 -146
8c = -56
c = -7
Now we have to find the value of angle KYR so just plug in -7 for c
3(-7) + 64 = 43
Can get brainliest please?
Write the equation of the line that passes through the points (2,5) and (2,-6). Put
your answer in fully redaced point-slope form, unless it is a vertical or horizontal line.
Answer:
Submit Answer
attempt 1 out of
Guys please answer this. Im in dire need of your help! ):
why can we write 1/a^n=a^-n?
Answer:
Try to understand by substitute a number in a and n.
Step-by-step explanation:
For example,
a=2, n=1
a^n= 2^1= 2
[tex]\frac{1}{2}[/tex] = 0.5
2^(-1)=0.5
Step-by-step explanation:
[tex] \frac{1}{ {a}^{n} } = {a}^{ - n} [/tex]
~Math Induction
[tex] \: [/tex]
—Prove that n = 1
[tex] \frac{1}{ {a}^{1} } = {a}^{ - 1} [/tex]
[tex] \frac{1}{a} = \frac{1}{a} \to \sf proved[/tex]
[tex] \: [/tex]
—Prove that n = k
[tex] \frac{1}{{a}^{n}} = {a}^{n} [/tex]
[tex] \frac{1}{{a}^{k}} = {a}^{-k} , k \in \mathbb{R}[/tex]
[tex] \: [/tex]
—Prove that n = k + 1
[tex] \frac{1}{ {a}^{k + 1} } = {a}^{ - (k + 1)} [/tex]
[tex] \frac{1}{ {a}^{k + 1} } = {a}^{ - k} \times {a}^{ - 1} [/tex]
[tex] \frac{1}{ {a}^{k + 1} } = \frac{1}{ {a}^{k} } \times \frac{1}{ {a}^{1} } [/tex]
[tex] \frac{1}{ {a}^{k + 1} } = \frac{1}{ {a}^{k + 1} } \: \: \rm proved[/tex]
[tex] \: [/tex]
Proved that 1/a^n = a^-n
whats 500x200÷90+35
Answer:1146.11111
500*200 = 100,000
100,000 / 90 = 1111.11111
1111.11111+35 = 1146.11111
If it takes 6 men 4 days to dig a hole 3 metres deep, how long will it take 10 men to dig same hole 7 metres deep?
Step-by-step explanation:
6 men → 4 days → 3 metres
1 man → 24 days → 3 metres
1 man → 8 days → 1 metres
1 man → 56 days → 7 metres
10 men → 5.6 days → 7 metres
therefore, 5.6 days
Topic: direct n inverse proportions
If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!
Answer:
It will take 5.6 days for the 10 men to dig the same hole 7 m deep.
Step-by-step explanation:
Laying the data in column
----------------------------------------------------
6 men 3 m hole 4 days
10 men 7 m hole x days
-----------------------------------------------------
As [tex]6[/tex] men dig a hole in [tex]4[/tex] days, so their rate will be:
[tex]rate\:=\:\frac{4}{3}[/tex]
Then [tex]6[/tex] men would take [tex]7\times \frac{4}{3}=\frac{28}{3}[/tex] days to dig a hole of depth 7 m.
As we are letting 10 men do work, so they would
take [tex]\frac{6}{10}\times \frac{28}{3}=\frac{28}{5}[/tex] days.
so
[tex]\frac{6}{10}\times \frac{28}{3}=\frac{28}{5}[/tex]
[tex]=5.6[/tex] days
Therefore, it will take 5.6 days for the 10 men to dig the same hole 7 m deep.
The ratio of boys to girls in a group is 7:2. If there are 65 more boys than girls, work out how many boys there are.
低于当地人民：或立场上有一些事情了！儿女情长的好了吗我想做出
Answer:
91 boys
Step-by-step explanation:
Given that the ratio of boys to girls = 7 : 2 = 7x : 2x ( x is a multiplier )
There are 65 more boys than girls , thus
7x = 2x + 65 ( subtract 2x from both sides )
5x = 65 ( divide both sides by 5 )
x = 13
There are 7 × 13 = 91 boys in the group
if 60 of a number is 90 what is the number% of a number is 180 what is 150% of the number of beads. Hurry, it's for a test
Answer:
If 60% of a number is 90.
Suppose that the number is N.
60% of that number can be written as:
(60%/|00%)*N = 0.6*N = 90
Now we can solve that for N
0.6*N = 90
N = 90/0.6 = 150.
for the second part, we have that:
% of a number is 180, what is the 150%?
We do not have the first percentage, so i could not really answer this, so lets do it in a general way.
A% of a number N, is equal to 180.
(A%/100%)*N = 180
(A/100)*N = 180
Then:
N = 180*(100/A).
Now we want to compute the 150% of this number, this will be:
(150%/100%)*N
0.15*N = 0.15*180*(100/A). = 0.15*18,000/A = 2,700/A
Where A will depend on the first percentage.
A tent is put up with 7 poles. How many tents can be put up with 200 poles?
Answer:
28
Step-by-step explanation:
200/7
=28.5714285714
Therefore, at most 20 tents can be put up.
PLS GIVE BRAINLIEST
Given g(x) = –2 – 1, solve for a when g(x) = 3.
Answer:
Submit Answer
pls answer I give brainliest
Answer:
Part A: so that no single branch has to much power
Part B: "Each branch of government must check the actions of the other two branches to prevent one branch from having too much power."
Hope this helped!!!Answer:
Part A is the first choice and part B is the second choice
Help! I’ll give I Brainlyst to the first person but please I need it right now!
Answer:What’s your question?
Step-by-step explanation:
Graph the function in your notebook. Determine whether the function is linear or nonlinear.
Answer:
It is linear because if all x values are different, it makes it linear.
a cleaning service orders 7 large bottles and 14 small bottles of a cleaning product.Each large bottle has 124 ounces.Each small bottle has 64 ounces. which is the best estimate of the total amount of cleaning product the cleaning service orders?
I need help please!!
Answer: small bottles
Step-by-step explanation:
124 * 7 =868 ounces
14 * 64 = 896 ounces
A survey about issues affecting Bluff City Park was
given to 60 residents. The results of the survey are
shown below.
Issue
Yes No
Curfew
48 12
Skateboard use
26 34
Children under 14 accompanied by
38 22
a person at least 14 years old
Assume that the results in the table accurately predict
the response ratios for the town's 1.200 residents. How
many of the 1,200 residents would respond No on the
curfew issue?
F. 240
G. 300
H. 600
J. 680
K. 960
q1) find 80% of £120
q2) find 60% of £980
PLease show working thank uh
q1, 96£ q2, 588€
Step-by-step explanation:
q1, 120€×80/100 the zeroes are cancelled then 12×8=96€
q2, 980€ × 60/100 again the zeroes are cancelled then 98×6= 588€
through: (3,3), parallel to y=8/3x+5
Answer:
(0,5)
Step-by-step explanation:
It costs $13 to rent a canoe and $5.50 to use the canoe for an hour. You have $29.50. Write an equation that represents the number h of hours you can rent the canoe.
Answer:
Step-by-step explanation:
$13+$5.50=$18.50
$29.50 divided by $18.50=Your Answer
Answer:
You can rent canoe for 3 hrs.
Step-by-step explanation:
Say R = Rent
h = hours of using
* Rent needs to be added when we pick the canoe itself
* Hours should be multiplied with $5.50 to get total spent money.
R + 5.50h = 29.50
R=13
13+5.50h = 29.50
5.50h= 29.50-13
5.50h = 16.50
h = $16.50/$5.50 (
h = 3
pointsssssssssssssssssssssss
Answer:
hello thank you
Step-by-step explanation:
Answer:
TYSM Have a great Day!!!
:)
Step-by-step explanation:
very easy! 6th grade stuff! brainliest promised!
Answer:
It's Number A.
Step-by-step explanation:
It is number A because she walks 15 miles per hour, the ratio would be
hours - miles.
So, it means there are 15 miles to 4 hours.
Choose the fraction pair that is Not equivalent.
¾ and 75/100
-5/10 and -3/6
20/6 and 3 2/20
-1 1/3 and -4/3
Eddie is playing hide-and-seek with Harold and Gavin. Harold is hiding 12 meters south
of Eddie, and Gavin is hiding 16 meters east of Harold. How far apart are Eddie and Gavin?
jade has 4 bags of chips each bag has x amount of chips. How many chips are in total?
Answer:
x = x amount of chips in 1 bag
x about of chips in 1 bag times the 4 bags = x amount of chips in all 4 bags
Identify the function shown in this graph
Answer:
i think its d
Step-by-step explanation:
not copying i think
Answer:
C - y = 3x - 2
Step-by-step explanation:
I took the test. Hope this helps! :)
Which of the following additional statements would you need to prove these two triangles are similar by SAS similarity?
1. ∠A ≅ ∠D
2. ∠B ≅ ∠E
3. ∠B ≅ ∠F
4. ∠C ≅ ∠F
Answer:
option 1
as the sides were already given, A and D are the only way that the triangle can have SAS.
The option 1 . ∠A ≅ ∠D is correct and needed to apply SAS similarity theorem in this given condition.
What is SAS (side angle side ) similarity theorem for two triangles?The SAS theorem states that if two triangles have a congruent angles and the sides that define the angle are proportional, the two triangles are similar.
Given are two triangles ΔABC and ΔDEF and their sides AB =7 , AC = 12, DE =14, DF = 24
Then AB/ DE = 7/14 = 1/2
and AC / DF = 12/24 = 1/2
∴ AB / DE = AC/ DF
Therefore the sides AB and AC are proportional to DE and DF
And for the application of SAS the angle defined by these pairs must be congruent.
AB and AC defines ∠A and DE and DF defines ∠D
Thus, ∠A must be congruent to ∠D so that SAS can be to applied to make the given triangles similar.
Therefore, option 1. ∠A ≅ ∠D is correct option
Also, learn more about SAS similarity theorem from the link below:
https://brainly.com/question/22472034
#SPJ2
A baker sells bread for $4 a loaf and rolls for $1 each. The baker needs to sell $44 worth of baked goods by the end of the day.
Enter a linear equation that describes the problem.
PLEASE HELP ME I WILL GIVE EXTRA POINTS AND BRAINALIST TO THE FIRST PERSON
With some species of bamboo, you can actually see them grow. You could observe 30 centimeters of growth in just 1 3 of a day. At what rate does this bamboo grow? Simplify your answer and write it as a proper fraction, mixed number, or whole number. centimeters per day
Answer:
90 centimetres per day
Step-by-step explanation:
Given that:
One of the Bamboo species growth can be seen.
Growth in [tex]\frac{1}{3}[/tex] of a day = 30 cm
To find:
The growth per day in centimetres as a proper fraction, mixed number or whole number.
Solution:
If we are given that:
The growth of a bamboo tree is [tex]y[/tex] centimetres in [tex]x[/tex] number of days.
Then growth per day can be found by dividing the total growth of bamboo tree by the number of days.
Formula can be written as:
Growth per day = [tex]\frac{y}{x}[/tex]
We are given that:
[tex]y = 30\ cm\\x = \frac{1}{3}\ days[/tex]
Putting the values, we get:
[tex]\dfrac{30}{\frac{1}3}\\\Rightarrow \bold{90\ cm}[/tex]