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3 years ago

15

If 130 is invested in a savings account that earns 4% interest per year, which of the following is closest to the amount in the

account at the end of 10 years

1 answer:

kykrilka [37]3 years ago

4 0

The answer would be 182
4% of 130 = 5.2
5.2 x 10yrs = 52
130 + 52 = 182

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At an effective annual interest rate of i > 0, each of the following two sets of payments has present value K: (i) A payment

IgorLugansk [536]

Answer:

The present value of K is, $K=251.35$

Step-by-step explanation:

Hi

First of all, we need to construct an equation system, so

$(1)K=\frac{169}{(1+i)} +\frac{169}{(1+i)^{2}}$

$(2)K=\frac{225}{(1+i)^{2}} +\frac{225}{(1+i)^{4}}$

Then we equalize both of them so we can find $i$

$(3)\frac{169}{(1+i)} +\frac{169}{(1+i)^{2}}=\frac{225}{(1+i)^{2}} +\frac{225}{(1+i)^{4}}$

To solve it we can multiply $(3)*(1+i)^{4}$ to obtain $(1+i)^{4}*(\frac{169}{(1+i)} +\frac{169}{(1+i)^{2}}=\frac{225}{(1+i)^{2}} +\frac{225}{(1+i)^{4}})$ , then we have $225(1+i)^{2}+225=169(1+i)^{3}+169(1+i)^{2}$ .

This leads to a third-grade polynomial $169i^{3}+451i^{2}+395i-112=0$ , after computing this expression, we find only one real root $i=0.2224$ .

Finally, we replace it in (1) or (2), let's do it in (1) $K=\frac{169}{(1+0.2224)} +\frac{169}{(1+0.2224)^{2}}\\\\K=251.35$

8 0

3 years ago

Rewirte each expression using distribibutive property 10+12

oksian1 [2.3K]

Answer:

2(5 + 6)

I hope this helps!

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3 years ago

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If f(x)=x/2+8what if f(x) when x=10

Zinaida [17]

Answer:

f(10)=13

Step-by-step explanation:

f(x)=x/2+8

Let x = 10

f(10)=10/2 +8

= 5 + 8

= 13

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3 years ago

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(Need 3 answers) An entomologist discovered a new insect species. The population of the insect species can be modeled by P(n) =

Strike441 [17]

Answer:

See below

Step-by-step explanation:

<u>According to the model, the equation is:</u>

P(n) = 3450*bⁿ

Based on the equation, the initial number of insects is 3450

<u>If b = 1.75, daily growth rate is:</u>

1.75 - 1 = 0.75 = 75%

<u>If we get P(4) = 55200, find the value of b:</u>

55200 = 3450*b⁴
b⁴ = 55200/3450
b⁴ = 16
b⁴ = 2⁴
b = 2

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2 years ago

1.17375 rounded to nearest tenth

Elden [556K]

Answer:

1.2

Step-by-step explanation:

Since we are rounding it by the tenth, it means we are rounding to the 1st digit to the right of the decimal.

We know 7 is greater then 5 meaning we round up

.1 + .1 is equal to .2 meaning its 1.2

If you still don't understand, I recommend you talk to your teacher

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2 years ago

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