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Mama L [17]
3 years ago
13

Number 13 please A) B) Photo

Mathematics
1 answer:
KatRina [158]3 years ago
6 0

Answer:

b.

Step-by-step explanation:


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Greg deposited $4000 into an account with 4.6% interest, compounded semiannually. Assuming that no withdrawals are made, how muc
Zinaida [17]

The amount in account after 7 years is $ 5499.445

<em><u>Solution:</u></em>

<em><u>The formula for total amount in compound interest is given as:</u></em>

A = p(1+\frac{r}{n})^{nt}

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested or borrowed for

Here given that,

A = ?

P = 4000

t = 7 years

r = 4.6 \% = \frac{4.6}{100} = 0.046

n = 2 ( since compounded semi annually)

<em><u>Substituting the values in formula, we get</u></em>

A = 4000(1+\frac{0.046}{2})^{2 \times 7}\\\\Simplify\ the\ above\ expression\\\\A = 4000(1+0.023)^{14}\\\\A = 4000(1.023)^{14}\\\\A = 4000 \times 1.37486\\\\A = 5499.445

Thus amount in account after 7 years is $ 5499.445

4 0
3 years ago
Steve walks 3 kilometers a day how many meters does he walk in 3 days??​
Sphinxa [80]

Answer:

9,000 m

Step-by-step explanation:

1 km = 1,000 m

3 * 3 = 9 km

9 * 1,000 = 9,000 m

6 0
3 years ago
Read 2 more answers
A triangle has one side of length of 10 and another of length of 6. Write an inequality that describes the possible length of th
Shkiper50 [21]

Answer:

x>10>6<0

Step-by-step explanation:

the two length are 10&6 respectively.

on a normal note, the two length of a triangle is equal.

Therefore, x>10>6<0

8 0
2 years ago
Which of the following terms appear in the expansion of (x + y)10? The letter a in each term represents a real constant.
Neporo4naja [7]
The answer is <span>D. ax4y6
proof 

the binome of newton is   S a x^k y^n-k = (x+y)^n, for k=0...n
for n=10, it is   </span>a y^10+...+  <span>a x4 y^10-4 +...+ax^10</span>
<span>
                     </span>
5 0
3 years ago
Read 2 more answers
In the ACD triangle picture above, if CBD = 45°, CAD = 30°, AB = 20, then BC =....​
OLEGan [10]

Answer:

(C)10(√3 +1)

Step-by-step explanation:

let x be DC then

from fig. tan45° = DC/BC

we get DC = BC

then we get AC = 20+x

tan 30° = DC /BC

(1/√3)= (x)/(20+x)

20= x(√3-1)

x= 20/(√3 -1)

rationalize we get

x = 20(√3 +1)÷(3-1)

x = 10(√3+1)

don't know rationalizing?

Google it!

7 0
3 years ago
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