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aleksley [76]
3 years ago
11

Activity Give the exponential model for the following situation​

Mathematics
1 answer:
Otrada [13]3 years ago
6 0

Answer:

Suppose that a couple invested $50,000 in an account when their child was born, to prepare for the child's college education. If the average interest rate is 4.4% compounded annually, ( A ) Give an exponential model for the situation, and ( B ) Will the money be doubled by the time the child turns 18 years old?

( A ) First picture signifies the growth of money per year.

( B ) Yes, the money will be doubled as it's maturity would be $108,537.29.

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

n

r

)

nt

a = 50.000.00(1 + \frac{0.044}{1} ) {}^{(1)(18)}a=50.000.00(1+

1

0.044

)

(1)(18)

a = 50.000.00(1 + 0.044) {}^{(1)(18)}a=50.000.00(1+0.044)

(1)(18)

a = 50.000.00(1.044) {}^{(18)}a=50.000.00(1.044)

(18)

50,000.00 ( 2.17074583287910578440507440 it did not round off as the exact decimal is needed.

a = 108.537.29a=108.537.29

Step-by-step explanation:

Hope This Help you!!

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8 0
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For what value(s) of k will the relation not be a function
skelet666 [1.2K]

We are given two relations

(a)

Relation (R)

R=[((k-8.3+2.4k),-5),(-\frac{3}{4}k,4)]

We know that

any relation can not be function when their inputs are same

so, we can set both x-values equal

and then we can solve for k

k-8.3+2.4k=-\frac{3}{4} k

3.4k-8.3=-\frac{3}{4}k

3.4k\cdot \:10-8.3\cdot \:10=-\frac{3}{4}k\cdot \:10

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34k=-\frac{15}{2}k+83

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(b)

S = {(2−|k+1| , 4), (−6, 7)}

We know that

any relation can not be function when their inputs are same

so, we can set both x-values equal

and then we can solve for k

2-|k+1|=-6

2-\left|k+1\right|-2=-6-2

-\left|k+1\right|=-8

\left|k+1\right|=8

Since, this is absolute function

so, we can break it into two parts

|f\left(k\right)|=a\quad \Rightarrow \:f\left(k\right)=-a\quad \mathrm{or}\quad \:f\left(k\right)=a

k+1=-8\quad \quad \mathrm{or}\quad \:\quad \:k+1=8

we get

k+1=-8\quad

k=-9

k+1=8\quad

k=7

so,

k=-9\quad \mathrm{or}\quad \:k=7...............Answer

5 0
3 years ago
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