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mina [271]
2 years ago
6

Isabella invested $1300 in an account that pays 4.5% compounded annually. Assuming no deposits or withdrawals are made , find ho

w much money Isabella would have in the account 14 years after her initial investment . Round to the nearest tenth.
Mathematics
1 answer:
kobusy [5.1K]2 years ago
6 0

Answer:

FV= $2,407.53

Step-by-step explanation:

Giving the following information:

Present Value (PV)= 1,300

Interest rate (i)= 4.5% = 0.045

Number of periods (n)= 14 years

<u>To calculate the future value (FV) of the initial investment after 14 years, we need to use the following formula:</u>

FV= PV*(1 + i)^n

FV= 1,300*(1.045^14)

FV= $2,407.53

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Solve the following inequality for x.
Alexus [3.1K]

Answer:

X < -1

Step-by-step explanation:

4x - 5 + X < -10

5x < -5

× < -1

8 0
3 years ago
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dale has a square garden. He adds a 2-foot-wide walkway around his garden. If the total area of the walkway and garden is 196 sq
dem82 [27]
Let the side of the garden alone (without walkway) be x.  
Then the area of the garden alone is x^2.  
The walkway is made up as follows:

1) four rectangles of width 2 feet and length x, and 
 2) four squares, each of area 2^2 square feet.


The total walkway area is thus x^2 + 4(2^2) + 4(x*2).  

We want to find the dimensions of the garden.  To do this, we need to find the value of x.

Let's sum up the garden dimensions and the walkway dimensions:

x^2 + 4(2^2) + 4(x*2) = 196 sq ft

x^2 + 16 + 8x = 196 sq ft

x^2 + 8x - 180 = 0

(x-10(x+18) = 0

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The garden dimensions are (10 feet)^2, or 100 square feet.


4 0
3 years ago
S = the team's score
Akimi4 [234]

Answer:

s would be the dependent variable, and g the independent.

Step-by-step explanation:

Whatever the score is, it would depend on how many goals the team has scored.

6 0
3 years ago
Use the arc length formula and the given information to find r.. s = 16 cm, θ = 48°; r = ?
saveliy_v [14]

Answer:

The value for r is 19.1 cm

Step-by-step explanation:

We have been given that  s = 16 cm, θ = 48° and we have to find the radius r.

We know the relation

\theta=\frac{s}{r}\\\\r=\frac{s}{\theta},\text{ where }\theta \text{ is in radian}

Hence, first of all convert the angle in radian

θ = 48°= 0.837758 radian

Therefore, we have

r=\frac{16}{0.837758}\\\\r=19.1\text{ cm}



8 0
3 years ago
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Angelo charges $30 to mow 1 yard. Which equation could be used to determine the total cost, y, for mowing x yards? A. y = x + 30
alexira [117]

Answer:

D. y=30x

Step-by-step explanation:

So x represents like say if he mowed 3 yards.

y=30(3)

Then y would equal 90

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3 years ago
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