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julia-pushkina [17]
3 years ago
15

A rectangular

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
8 0
A = length x width

15,000 = (w + 30) x w
15,000 = w^{2} + 30w
0 = w^{2} + 30w - 15,000

Use quadratic formula to find that  w= -15 + or - 5\sqrt{609}. Because distance cannot be negative, the width is -15 + 5\sqrt{609}meters or approximately 108.39 meters. This means that the length is approximately 138.39 meters.


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Find the amount in the bank after 7 years if interest is compounded quarterly?
qwelly [4]

Answer:

a) amount in the bank after 7 years if interest is compounded quarterly is $6,605

b) amount in the bank after 7 years if interest is compounded quarterly is $6,612.57

Step-by-step explanation:

We are given:

Principal Amount P= 5000

Rate r= 4% = 0.04

time t = 7 years

The formula used is: A=P(1+\frac{r}{n})^{nt}

where A is future value, P is principal amount, r is rate, n is compounded value and t is time

a) Find the amount in the bank after 7 years if interest is compounded quarterly?

If interest is compounded quarterly then n = 4

Using values given in question and finding A

A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.04}{4})^{4*7} \\A=5000(1+0.01)^{28}\\A=5000(1.01)^{28}\\A=5000(1.321)\\A=6,605

So, amount in the bank after 7 years if interest is compounded quarterly is $6,605

b) Find the amount in the bank after 7 years if interest is compounded monthly?

If interest is compounded quarterly then n = 12

Using values given in question and finding A

A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.04}{12})^{12*7} \\A=5000(1+0.003)^{84}\\A=5000(1.003)^{84}\\A=5000(1.322)\\A=6,612.57

So, amount in the bank after 7 years if interest is compounded quarterly is $6,612.57

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