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Olegator [25]
3 years ago
12

Makayla invested $630 in an account paying an interest rate of 5.5% compounded continuously. Assuming no deposits or withdrawals

are made, how long would it take, to the nearest year, for the value of the account to reach $1,860?
Mathematics
1 answer:
ivolga24 [154]3 years ago
3 0

Answer:

19.7 or 20 rounded

Step-by-step explanation:

A = $ 1,861.65

A = P + I where

P (principal) = $ 630.00

I (interest) = $ 1,231.65

Continuous Compounding Formulas (n → ∞)

Calculate Accrued Amount (Principal + Interest)

A = Pe^rt

Calculate Principal Amount, solve for P

P = A / e^rt

Calculate rate of interest in decimal, solve for r

r = ln(A/P) / t

Calculate rate of interest in percent

R = r * 100

Calculate time, solve for t

t = ln(A/P) / r

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In 2003 there were 1078 JC Penney stores and in 2007 there were 1067 stores.
Tamiku [17]

Answer:

a) f(s)=\frac{-11}{3}s+\frac{3245}{3} f(1)=1078 stores b) 2012, 1049 stores. 2014, 1041 stores. c) Yes it is a downsizing company.

Step-by-step explanation:

a)

s=year | f(s) = number of stores per year

1 | 1078

4| 1067

m=\frac{1067-1078}{4-1}\Rightarrow m=\frac{-11}{3}\\1078=-\frac{11}{3}*1+b\Rightarrow b=\frac{3245}{3}\\f(s)=\frac{-11}{3}s+\frac{3245}{3}

s=1 in 2003

s=1 year =2003\\ Testing\\f(1)=\frac{-11}{3}(1)+\frac{3245}{3}=\frac{3234}{3}=1078\\ f(1)=1078

b) For 2012, s=9. For 2014, s=11

\\f(s)=\frac{-11}{3}s+\frac{3245}{3}\\ \\f(9)=\frac{-11}{3}(9)+\frac{3245}{3}\cong1049\\\\f(11)=\frac{-11}{3}(11)+\frac{3245}{3}\cong=1041

c) In deed. Since the function shows a decreasing amount of JC Penney stores. Maybe this is a downsizing from this company, progressively closing some stores.

4 0
3 years ago
Solve x4 – 17x2 + 16 = 0.<br> Let u =<br> Select all of the zeroes of the function. i i
Soloha48 [4]

Solve \ x^4 - 17x^2 + 16 = 0

To solve this equation , we need to write it in quadratic form

ax^2+bx+c=0

To get the equation in quadratic form we replace x^2 with u

x^2 = u

x^4 - 17x^2 + 16 = 0 can be written as

(x^2)^2 - 17x^2 + 16 = 0, Replace u for x^2

So equation becomes

u^2 - 17u + 16 = 0

Now we factor the left hand side

-16  and -1  are the two factors whose product is +16  and sum is -17

(u-16) (u-1) = 0

u -16 = 0  so u=16

u-1 =0  so u=1

WE assume u = x^2, Now we replace u with x^2

u = 16 so \ it \ becomes \ x^2 =16

Now take square root on both sides , x= +4  and x=-4

u = 1 so \ it \ becomes \ x^2 =1

Now take square root on both sides , x= +1  and x=-1

So zeros of the function are -4, -1, 1, 4


8 0
2 years ago
Read 2 more answers
How old am I if 689 reduced by 5 times my age is 464? Write and Solve an Equation with an answer.
ludmilkaskok [199]

Answer:

45

Step-by-step explanation:

689 - 464 = 225

225 /5 = 45

7 0
3 years ago
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fgiga [73]

Answer:

Step-by-step explanation:

2(x-5)+2-3(5-2x)=16​

2x-10+2-15+6x =16

8x-23 =16

8x =39

x = 39/8

6 0
3 years ago
Lamar has a summer job. He gets paid $7.25 an hour and a $150 bonus at the end of summer. The total Lamar earns can be modeled b
Alex17521 [72]
B. 

Slope is the first number and intercept is the second 
4 0
3 years ago
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