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cluponka [151]
2 years ago
15

When Sarah turned 18, she took $500 from her savings and opened a

Mathematics
1 answer:
Montano1993 [528]2 years ago
6 0

The worth of Sarah's investment when she is 68 is $14,728.51.

<h3>What is the worth of the investment?</h3>

The formula that can be used to determine the worth of the investment is:

FV = P (1 + r)^n

FV = Future value

P = Present value

R = interest rate

N = number of years = 68 - 18 = 50

$500 x (1.07)^50 = $14,728.51

To learn more about future value, please check: brainly.com/question/18760477

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Step-by-step explanation:

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mezya [45]

Answer:7√3 + 3√7

Step-by-step explanation:

7√3 + √63

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=> 7√3 + 3√7

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3 years ago
f(x) is a quadratic function with x-intercepts at (−1, 0) and (−3, 0). If the range of f(x) is [−4, [infinity]) and g(x) = 2x^2
iren2701 [21]

Answer with Step-by-step explanation:

We are given that function f(x) which is quadratic function.

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x-Intercept of f means zeroes of f

x=-1 and x=-3

Range of f =[-4,\infty)

g(x)=2x^2+8x+6=2(x^2+4x+3)

g(x)=0

2(x^2+4x+3)=0

x^2+4x+3=0

x^2+3x+x+3=0

x(x+3)+1(x+3)=0

(x+1)(x+3)=0

x+1=0\implies x=-1

x+3=0\implies x=-3

Therefore, x-intercept of g(x) at (-1,0) and (-3,0).

Substitute x=-2

g(-2)=2(-2)^2+8(-2)+6=8-16+6=-2

g(x)=2(x^2+4x)+6

g(x)=2(x^2+2\times x\times 2+4-4)+6=2(x^2+2\times x\times 2+4)-8+6

g(x)=2(x+2)^2-2

By comparing with the equation of parabola

y=a(x-h)^2+k

Where vertex=(h,k)

We get vertex of g(x)=(-2,-2)

Range of g(x)=[-2,\infty)

Zeroes of f and g are same .

But range of f and g are different.

Range of f contains -3 and -4 but range of g does not contain -3 and -4.

f and g are both quadratic functions.

3 0
3 years ago
Dan bought 1/8 of a pound of
Alja [10]

Answer:

he bought 1 pound

Step-by-step explanation:

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4 0
3 years ago
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The mother of Kriz Anthony was hospitalized and he needs an
Artyom0805 [142]

Answer: Kriz should pay $50,100 at the end of the term.

Step-by-step explanation:

If the interest is compunded quarterly, then the accumulated amount after t years will be:

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Given: P= 50,000 , r= 5% = 0.05, t= 4 years

Then,

A=50000(1+\dfrac{0.05}{400})^{4(4)}\\\\= 50000(1+0.000125)^{16}\\\\=50000(1.000125)^{16}\\\\=50000(1.002)\\\\=\$50,100

Hence, Kriz should pay $50,100 at the end of the term.

3 0
2 years ago
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