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Alina [70]
3 years ago
6

gavin deposited $1500 into his savings account that is compounded quarterly at an interest rate of 1.5%. How munch money will ga

vin have after 5 years?
Mathematics
1 answer:
creativ13 [48]3 years ago
4 0

<u>Answer:</u>

The money will gavin have after 5 years is 1616.59$

<u>Explanation:</u>

We know that compound interest is given by  

A=P\left(1+\frac{r}{n}\right)^{n t}

          Where A = final amount

       P = Principal amount = $1500 (given)

r  = interest rate = 1.5% = 0.015

n = no. of times interest applied per time period = given quarterly = 4

t = time period = 5 years  

    So,

A=1500\left(1+\frac{0.015}{4}\right)^{4 \times 5}

1500\left(1+\frac{0.015}{4}\right)^{20}

 = 1616.59$ which is the money will gavin have after 5 years

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A model rocket is launched straight upward. The solid fuel propellant pushes the rocket off the ground at an initial velocity of
anastassius [24]

Answer:

a) 72.25sec

b) 6.25secs

c) after 10.5secs and 2 secs

Step-by-step explanation:

Given the height reached by the rocket expressed as;

s(t)= -4t^2 + 50t - 84

At maximum height, the velocity of the rocket is zero i.e ds/dt  = 0

ds/dt = -8t + 50

0 = -8t + 50

8t = 50

t = 50/8

t = 6.25secs

Hence it will reach the maximum height after 6.25secs

To get the maximum height, you will substitute t - 6.25s into the given expression

s(t)= -4t^2 + 50t - 84

s(6.25) = -4(6.25)^2 + 50(6.25) - 84

s(6.25) = -156.25 + 312.5 - 84

s(6.25)  = 72.25feet

Hence the maximum height reached by the rocket is 72.25feet

The rocket will reach the ground when s(t) = 0

Substitute into the expression

s(t)= -4t^2 + 50t - 84

0 = -4t^2 + 50t - 84

4t^2 - 50t + 84 = 0

2t^2 - 25t + 42 = 0

2t^2 - 4t - 21t + 42 = 0

2t(t-2)-21(t-2) = 0

(2t - 21) (t - 2) = 0

2t - 21 = 0 and t - 2 = 0

2t = 21 and t = 2

t = 10.5 and 2

Hence the time the rocket will reach the ground are after 10.5secs and 2 secs

3 0
3 years ago
Simplify foundation of alegebra
Eva8 [605]

1.) -8 + 10(6 + 4r)

First multiply the 10 into (6 + 4r)

-8 + 60 + 40r

52 + 40r


2.) (8m² - 8m + 8) - (2m - 7m² - 6)

Distribute the - into (2m - 7m² - 6)

8m² - 8m + 8 - 2m + 7m² + 6

Combine like terms

15m² - 10m + 14

(idk if you need to factor this or if you can leave it as is)

3 0
4 years ago
What is x for the the problem y=6x + 8
Misha Larkins [42]
If Y is 8, we solve by subtracting 8 on both sides,

0 = 6x

Divide by 6,

0 = x

x is equal to 0
5 0
3 years ago
What is the solution for a2 -b2
Sphinxa [80]
2(a-b)

this is the answers
4 0
3 years ago
Read 2 more answers
Albert receives $0.30 per pound for 1 to 49 pounds of glass bottles he recycles. He receives $0.40
Marina86 [1]

Answer:

Yes

Step-by-step explanation:

The amount of money Albert receives is described by the expression

y = \begin{cases}0.30x  & \quad \text{if } 0 \leq x \leq 49 \\0.40x & \quad \text{if } x > 50\\\end{cases}

The graph is shown below.

To determine if the relation is a function,  we can use the vertical line test:  

If a vertical line crosses the graph more than once in any location, the relation is not a function.

We see that at no place will a vertical line intersect the graph more than once.

The relation is a function.

3 0
3 years ago
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