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liraira [26]
3 years ago
15

3/4(3z+6) - 1/4(5z - 24)

Mathematics
1 answer:
puteri [66]3 years ago
6 0
That would be 0.5(2z+21)
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Kristen invests $ 5745 in a bank. The bank 6.5% interest compounded monthly. How long must she leave the money in the bank for i
podryga [215]

Answer:

1. 10.7 years

2. 17.0 years

3. 2nd option

Step-by-step explanation:

Use formula for compounded interest

A=P\cdot \left(1+\dfrac{r}{n}\right)^{nt},

where

A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.

In your case,

1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

11490=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},\\ \\2=(1.0054)^{12t},\\ \\12t=\log_{1.0054}2,\\ \\t=\dfrac{1}{12}\log_ {1.0054}2\approx 10.7\ years.

2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then


17235=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},

3=(1.0054)^{12t},

12t=\log_{1.0054}3,

t=\dfrac{1}{12}\log_{1.0054}3\approx 17.0\ years.

3. <u>1 choice:</u> P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then

A=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12\cdot 5},\\ \\A=5745\cdot (1.0054)^{60}\approx \$7936.39.

<u>2 choice:</u> P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then

A=5745\cdot \left(1+\dfrac{0.0675}{4}\right)^{4\cdot 5},\\ \\A=5745\cdot (1.0169)^{20}\approx \$8032.58.

The best will be 2nd option, because $8032.58>$7936.39

5 0
3 years ago
Read 2 more answers
Two numbers are randomly selected from integers 1 through 9. What is the probability that only one of the integers is odd given
12345 [234]

Answer: i think its just 1

Step-by-step explanation:

6 0
3 years ago
The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as mc024-1.j
Alex Ar [27]
We have the given I = 10^-1 and I₀ = 10^-12.

Simply plugging in the values to the equation, we have:
L = 10log(10^-1/10^-12)
L = 110 Db

The answer is D.

(I used a scientific calculator in solving for L).
8 0
3 years ago
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Calculate the sales tax:<br> 10% of 25.75
ivanzaharov [21]

Answer: 103/40, or 2 23/40 or, 2.575

Step-by-step explanation:

5 0
2 years ago
What percent is equal to the decimal 0.13?<br><br> A. 0.013%<br> B. 1.3%<br> C. 13%<br> D. 130%
mario62 [17]
0.13 <== the decimal is in the tenth place.

We could also say it is equal to

13/100

Or, 

"C" 13%

I hope this helps!
~kaikers
3 0
3 years ago
Read 2 more answers
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