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3 years ago

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Suppose you deposit $2,000 in a savings account that pays interest at an annual rate of 6%. If no money is added or withdrawn fr

om the account, answer the following questions.
a. How much will be in the account after 4 years?
b. How much will be in the account after 17 years?
c. How many years will it take for the account to contain $2,500?
d. How many years will it take for the account to contain $3,000?

1 answer:

aleksandrvk [35]3 years ago

7 0

Answer:

a. $2480
b. $4040
c. 4 years and 2 months
d. 8 years and 4 months

Step-by-step explanation:

a. Account after 4 years:

2000 + 4*2000*0.06 = $2480

b. Account after 17 years:

2000 + 17*2000*0.06 = $4040

c. Time when account = $2500:

2000 + x*2000*0.06 = 2500
120x = 500
x = 500/120
x = 4 20/120 = 4 2/12 years = 4 years and 2 months

d. Time when account = $3000

2000 + x*2000*0.06 = 3000
120x = 1000
x = 1000/120
x = 8 40/120 = 8 4/12 years = 8 years and 4 months

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A football team loses 5 2/3 yards on the first play. On the next play, they gain 2 3/4 yards. What is the overall increases or decreases in yards?

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What is the value of the expression below when c=5 and d=4 ?

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Answer:

$Sum = -81$

Step-by-step explanation:

See the comment for complete question.

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No coefficient of x^2

Required:

Determine the sum of all distinct positive integers of the coefficient of x

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Where a is the unknown coefficient

From the question, we understand that the equation has two negative integer solution. This can be represented as:

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Open brackets

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$a = \alpha + \beta$

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Where: $\alpha, \beta$ and $\alpha \ne \beta$

The values of $\alpha$ and $\beta$ that satisfy $\alpha \beta = 36$ are:

$\alpha = -1$ and $\beta = -36$

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Answer:

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Step-by-step explanation:

The equation that models the height, h, in feet of object thrown modeled as a time function is given as follows;

h(t) = -16t² + v₀·t + h₀

Where;

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h₀ = The initial height of the object in feet

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The initial height from which Maria throws a ball = 6 feet

The initial vertical velocity with which Maria throws the ball = 40 feet per second

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The initial vertical velocity with which Kerry throws the ball = 50 feet per second

For Maria, from the equation for the height of the object, we have;

h(t) = -16t² + v₀·t + h₀

Where for Maria, we have;

h₀ = 6 feet

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Substituting gives;

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Substituting gives;

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$x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}$

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Therefore, Kerry's ball that spends approximately 3.222 seconds stays longer in the air than Maria's ball that spends approximately 2.64 seconds in the air.

The difference in the two time duration is 3.222 - 2.64 = 0.582

Kerry's ball stays longer in the air than Marias ball by an extra 0.582 seconds.

4 0

3 years ago