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Alja [10]
3 years ago
8

Does the table represent an exponential function?

Mathematics
1 answer:
Lemur [1.5K]3 years ago
6 0

Answer:

The correct answer is NO

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Given a term and the common difference, find the explicit formula.<br> 8. a(19) = 135<br> d = 15
Rasek [7]

The explicit formula is a(n) = 15(n – 10)

<u>Solution:</u>

Given, a term a(19) = 135 and common difference d = 15

We have to find the explicit formula.

Now, we know that, a(n) = a + (n – 1)d where a(n) is nth term, a is first term, d is common difference,

So, for a(19)  

\begin{array}{l}{\rightarrow a(19)=a+(19-1) 15} \\\\ {\rightarrow 135=a+18 \times 15} \\\\ {\rightarrow a=135-270} \\\\ {\rightarrow a=-135}\end{array}

Now, we know that, an explicit formula is an expression for finding the nth term,  

So, in our problem, expression for finding nth term is a + (n – 1)d  

\begin{array}{l}{\rightarrow-135+(n-1) 15} \\\\ {\rightarrow-135+15 n-15} \\\\ {\rightarrow 15 n-150} \\\\ {\rightarrow 15(n-10)}\end{array}

Hence, the explicit formula is a(n) = 15(n – 10).

7 0
3 years ago
3) A truck has 673 boxes of candies. Each box has a dozen candies in it. What is the total number of
jenyasd209 [6]

Answer:

8076 candies is the total number of candies on the truck

Step-by-step explanation:

  • Each box has a dozen candies in it means 1 box contains 12 candies.

If 1 box has 12 candies.

then 673 boxes shall have ( 673 * 12 ) = 8076 candies.

8 0
2 years ago
PLEASE ANSWER ASAP!!
ExtremeBDS [4]

Answer:

<u>Fred paid US$ 310 to Social Security as a payroll tax</u>

<u>Fred paid US$ 72.50 to Medicare as a payroll tax</u>

<u>Fred paid 18% of his income to the Federal government as an income tax</u>

<u>Fred paid 5% of his income to the state government as an income tax</u>

Step-by-step explanation:

Fred's earnings in June were $ 5,000

A. Payment to Social Security

5,000 * 6.2% = 5,000 * 0.062 = 310

B. Payment to Medicare

5,000 * 1.45% = 5,000 * 0.0145 = 72.50

C. Federal Income Tax

900/5,000 = 0.18 = 18%

D. State Income Tax

250/5,000 = 0.05 = 5%

3 0
3 years ago
A number cube is rolled several times. The results are shown in the table below. What is the ratio of rolling a 2 to rolling a 5
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1/6 chance of rolling any side
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What is the effective rate of interest if $1,000 compounds to $1,331 in 3 years?
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6.0%

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