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Ivahew [28]
3 years ago
13

Find the interest rate needed for an investment of $10,000 to grow to an amount of $11,000 in 4 years if interest is compounded

quarterly. (Round your answer to the nearest hundredth of a percent.) %
Mathematics
1 answer:
marysya [2.9K]3 years ago
7 0

Answer:

2.39\%  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=4\ years\\ P=\$10,000\\A=\$11,000\\ r=?\\n=4  

substitute in the formula above  

11,000=10,000(1+\frac{r}{4})^{4*4}  

1.1=(1+\frac{r}{4})^{16}  

Elevated both sides to (1/16)

1.005975=(1+\frac{r}{4})  

0.005975=\frac{r}{4}  

r=0.005975*4=0.0239  

Convert to percent

0.0239*100=2.39\%  

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Now deducte 28% the tax bracket from the amount we found
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3 years ago
-u≥4−u≥4 true. Then write an equalivalent inequality, in terms of uu. (Numbers written in order from least to greatest going acr
ziro4ka [17]

Answer:

(a)\ u \le -4

(b)\ u =\{-\infty,.....,-6,-5,-4\}

Step-by-step explanation:

Given

-u \ge 4

Solving (a): An equivalent inequality

We have:

-u \ge 4

Multiply both sides by -1 (this changes the inequality)

-u*-1 \le 4 * -1

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8 0
3 years ago
Need help if anybody can help.​
Darina [25.2K]

Answer:

46.5

Step-by-step explanation:

Of all straight angles have 180 degrees in them.

So, to find x we need to form this equation:

x + 65 + x - 22 = 180

2x + 43 = 180

2x = 180-43

2x = 137

68.5 degrees = x

68.5-22 = 46.5 degrees.

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2 years ago
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liq [111]

Answer:

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Step-by-step explanation:

The expression 4x + 5 has two monomials 4x and 5 and this makes it a binomial. Now, the second thing to keep in mind is, every binomial is also considered a polynomial as well.

6 0
2 years ago
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Please help asap!!! URGENT!!!
Elis [28]

Answer:

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Step-by-step explanation:

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So, y = 5√2 ft.

3 0
3 years ago
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