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TEA [102]
3 years ago
6

9000 dollars is placed in an account with an annual interest rate of 7.75%. How much will be in the account after 18 years, to t

he nearest cent?
Mathematics
2 answers:
NNADVOKAT [17]3 years ago
7 0

In one year, $ 9,000 with a profit of 7.75%, is $ 697.5

697.5 × 18 = 12555

After 18 years old, it is $ 15,222

inysia [295]3 years ago
5 0

Answer:

The answer is 34494.79

Step-by-step explanation:

Y=ab^x

A= starting value= 9000

r=rate = 7.75% = 0.0775

Exponential growth

Y= 9000(1.0775)^x

Plug in time for x

Y= 9000(1.0775)^18

Y=34494.7918323

ROUND the number and your answer will be Y= 34494.78

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Candy's Sweets Company charges $1.15 per pound to ship candy.
Alex73 [517]

Answer:

Part A: c = 1.15p

c = 1.15(2) c = 2.30

Part B: c = 0.9p

c = 0.9(4) c = 3.60

8 0
2 years ago
Read 2 more answers
A garden box has a perimeter of 18½ feet. If the length is 5 feet, what is the area of the garden box?
Travka [436]

Answer:

area=\frac{85}{4}feet^{2}

Step-by-step explanation:

1. Approach

Since it is given that the garden box is a rectangle, then the opposite sides are congruent. One can use this to their advantage, by setting up an equation that enables them to solve for the width of the rectangle. After doing so, one will multiply the width by the given length and solve for the area.

2. Solve for the width

It is given that the garden box is a rectangle. As per its definition, opposite sides in a rectangle are congruent. The problem gives the length and the perimeter of the rectangle, therefore, one can set up an equation and solve for the width.

perimeter=18\frac{1}{2}\\\\length=5

2(length+width)=perimeter

Substitute,

2(5+width)=18\frac{1}{2}

Conver the mixed number to an improper fraction. This can be done by multiplying the "number" part of the mixed number by the denominator of the fraction. Then add the result to the numerator.

2(5+width)=\frac{37}{2}

Inverse operations,

2(5+width)=\frac{37}{2}\\/2\\\\5+width=\frac{37}{4}\\-5\\\\width=\frac{17}{4}

3. Solve for the area

Now that one has solved for the width of the box, one must solve for the area. This can be done by multiplying the length by the width. Since the width is a fraction, one must remember, that when multiplying an integer by a fraction, one will multiply the integer by the numerator (the top of the fraction), and then simplify by reducing the fraction, if possible. Reducing the fraction is when one divides both the numerator and the denominator by the GCF (Greatest Common Factor).

length=5\\\\width = \frac{17}{4}

length*width=area

Substitute,

5*\frac{17}{4}\\\\=\frac{85}{4}

area=\frac{85}{4}feet^{2}

4 0
3 years ago
What is the length of XPY in terms of pi?
Elis [28]
Circumference of a circle = 2πr

Circumference of the whole circle= 2π(30) = 60π

360 - 90 = 270 

Length XPY = 270/360 x 60π = 45π

Answer: 45π m
5 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!! an onion soup recipe calls for 3 2/3 cups of chopped onions. katrina has already chopped 1 1/3 cups of onions
ivanzaharov [21]

Answer:

x+1\frac{1}{3}=3\frac{2}{3}

Step-by-step explanation:

Let the number of cups of onions Katrina still needs to chop = x

She has already chopped the onions = 1\frac{1}{3} cups ≈ \frac{4}{3} cups

So total amount of chopped onions = (x+\frac{4}{3}) cups

Since, onion soup recipe calls for the chopped onions = 3\frac{2}{3} cups ≈ \frac{11}{3} cups

Therefore, equation which shows the number of cups of onions to be chopped more will be,

x+1\frac{1}{3}=3\frac{2}{3}

We further solve this equation for the value of x,

x = \frac{11}{3}-\frac{4}{3}

x = \frac{(11-4)}{3}

  = \frac{7}{3} cups

  ≈ 2\frac{1}{3} cups

5 0
3 years ago
What is the common ratio of 40,12,3.6
slava [35]

Answer:

0.3

Step-by-step explanation:

Divide the second term (12) with the first term (40), and you'll get 0.3

This is correct because you get the terms in the correct order when multiplying:
(First term: 40. Common ratio: 0.3)
40 x 0.3 = <u>12</u>
<u>12</u> x 0.3<em> </em>= <em>3.6</em>

40, <u>12</u>, <em>3.6</em>

3 0
2 years ago
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