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uysha [10]
3 years ago
12

Suppose that when your friend was​ born, your​ friend's parents deposited ​$5000 in an account paying

Mathematics
1 answer:
sukhopar [10]3 years ago
4 0

Answer:

$10,306.21

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

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

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First, lets change 5.2% into a decimal:

5.2% -> \frac{5.2}{100} -> 0.052

Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

A=5,000(1+\frac{0.052}{4})^{4(14)}

A=10,306.21

The account balance will be $10,306.21

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Find the sum of the first 6 terms of the sequence: –3, 1, 5, 9, . . .A) 45B) 42C) 48D) 25
Leni [432]

SOLUTION

From the sequence give

–3, 1, 5, 9, . . .

The first term, a = -3

The common difference, d = 4 (gotten by adding 4 to the next term).

The number of terms required n = 6.

Formula for sum of an arithmetic sequence is given by

S_n=\frac{n}{2}\lbrack2a+(n-1)d\rbrack

Substituting these values into the equation above we have

\begin{gathered} S_n=\frac{n}{2}\lbrack2a+(n-1)d\rbrack \\ S_6=\frac{6}{2}\lbrack2\times-3+(6-1)4\rbrack \\ S_6=3\lbrack-6+(5)4\rbrack \\ S_6=3\lbrack-6+20\rbrack \\ S_6=3\lbrack14\rbrack \\ S_6=42 \end{gathered}

Hence, the answer is 42, option B

3 0
1 year ago
Condense the following logarithm: <br><img src="https://tex.z-dn.net/?f=5%20log_%7B4%7D%28a%29%20%20-%206%20log_%7B4%7D%28b%29%2
aleksley [76]

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log 4 ( a^5 / b^6 )

4 0
3 years ago
What is the value of m if <br> m/4 = 12
olga2289 [7]
The answer is 48 because you have to multiply 4 to the other side, so 12 and you will get m= 48.
8 0
3 years ago
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10 x 10 - 4 divided by 7
TEA [102]

Answer:

13.7142857143

Step-by-step explanation:

If you need to round then do so, or i will comment the rounded version if needed.

3 0
3 years ago
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densk [106]

Answer:

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Step-by-step explanation:

A particular satellite is 15 m wide

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3 years ago
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