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Triss [41]
3 years ago
13

Moe puts $1500 in a bank certificate that pays an annual rate of 4.5% compounded annually. No withdrawals or deposits are made.

How much will the certificate be worth (to the nearest dollar) at the end of 7 years?
Mathematics
1 answer:
SpyIntel [72]3 years ago
6 0

Answer:

FV= $2,041.29

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $1,500

Number of periods (n)= 7 years

Interest rate (i)= 4.5% = 0.045

<u>To calculate the future value, we need to use the following formula:</u>

FV= PV*(1+i)^n

FV= 1,500*(1.045^7)

FV= $2,041.29

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HELP!!! Simplify cos^2 0 -1/ 4sin^2 0?
Shkiper50 [21]

We need to simpify the given expression. The given expression to us is ,

<u>Given </u><u>Expression</u><u> </u><u>:</u><u>-</u><u> </u>

\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta }

<u>Using </u><u>Identity</u><u> </u><u>:</u><u>-</u><u> </u>

\sf\implies \red{ sin^2\theta + cos^2\theta = 1}

<u>So </u><u>that</u><u> </u><u>:</u><u>-</u><u> </u>

\sf\implies - sin^2\theta = cos^2\theta -1

<u>We </u><u>have</u><u> </u><u>:</u><u>-</u><u> </u>

\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta } \\\\\sf\implies\dfrac{ - sin^2\theta}{4sin^2\theta}=\boxed{\sf -\dfrac{1}{4}}

<u>Hence </u><u>the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>-</u><u>1</u><u>/</u><u>4</u><u>. </u>

5 0
3 years ago
What is the GCF of the two numbers in the expression (24 + 30)? 2 4 5 6
sweet [91]

Answer:

The greatest Common factor is 6

Step-by-step explanation:

6x4=24

6x5=30

Hope this helps plz mark Brainliest

4 0
3 years ago
Read 2 more answers
If The 3rd term of an A.S is and 5th term is . What is an A.P?​
Bad White [126]

Question:

If The 3rd term of an A.S  23 is and 5th term is 15 .P What is an A.?​

Answer:

A.P is   31, 27, 23 ,19, 15, 11, 7, 3

Step-by-step explanation:

Given:

3rd term =  23

5th term =  15

To Find:

The arithmetic Progression = ?

Solution:

Let

a_1 be the first term and d be difference

Then the arithmetic progression will be ,

a_1 , (a_1+d),(a_1 +2d),......(a_1+(n-1)d)

From the question ,

third term = 13

(a_1 +2d) = 23-------------(1)

Similarly

(a_1 +4d) = 15-----------------(2)

Subtracting (1) from  (2) we get

-2d =8

d = \frac{8}{2}

d = -4

Substituting d = 4 in equation 1, we get

(a_1 +2(-4)) = 23

(a_1 -8) = 23

a_1 = 23 +8

a_1 = 31

a_1 , (a_1+d),(a_1 +2d),......(a_1+(n-1)d)

=  31 ,(31 +(-4)) ,(31 +2(-4)), (31+3(-4)).........

=>  31, 27, 23 , 19, 15, 11,7,3

3 0
4 years ago
In the right triangle shown, DF=EF=3DF=EF=3D, F, equals, E, F, equals, 3.
jarptica [38.1K]

Answer:

<h2>The side DE is 4.2 units long, approximately.</h2>

Step-by-step explanation:

In the given triangle, side DE is the hypothenuse. So, we can use Pythagorean's Theorem, where both legs are 3 units long.

DE^{2}=DF^{2}+EF^{2}\\ DE^{2}=3^{2}+3^{2}\\DE^{2}=9+9\\DE=\sqrt{18} \approx 4.2

Therefore, the side DE is 4.2 units long, approximately.

7 0
3 years ago
Using compatible numbers, which number is the best estimate of 72.67 ÷ 7.8?
LiRa [457]

B is the answer to your question.

8 0
4 years ago
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