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larisa86 [58]
3 years ago
10

7700 dollars is placed in an account with an annual interest rate of 5.75%. How much will be in the account after 24 years, to t

he nearest cent?
Mathematics
1 answer:
Amanda [17]3 years ago
4 0

Answer:

A = $18,326.00

(assuming simple interest)

Step-by-step explanation:

Assuming simple interest, the following formula applies:

final amount = (principal amount) x [1  + (annual rate)(time elapsed) ]

or

A = P (1 + rt)

in our case,

P = $7,700

r = 5.75% = 0.0575

t = 24 years

hence,

A = 7700 [ 1 + (0.0575)(24)]

A = 7700 ( 1 + 1.38)

A = 7700 x 2.38

A = $18,326.00  

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Jessamine wants to ride her bike at least 85 miles per week. She rides to and from school 5 days per week. Her house is 6.25 mil
aalyn [17]

Step-by-step explanation:

Let's translate the verbal language to algebraic language.

She rides to and from school 5 days per week, 6.25 miles each route => 5*2*6.25 miles = 62.5 miles.

She rides additioanly around the park 2.5 miles for each trip t => 2.5*t = 2.5t

Total miles of her rides per week: 62.5 miles + 2.5t

She wants to ride minimum 85 miles => 62.5 + 2.5t ≥ 85

Then, the situation is represented by this inequality:

2.5t + 62.5 ≥ 85

You can develop it and get to several equivalent inequalities, for example:

2.5t ≥ 85 - 62.5

2.5t ≥ 22.5

t ≥ 9

Any of the four forms are equivalent and a valid answer.

4 0
4 years ago
Read 2 more answers
Mark Ronnie and Lisa bought a 75 inch curved 4000 television.Lisa put 650 more than Mark had.Mark had twice as much and then Ron
Alexeev081 [22]

So since you gave all of the equations of everyone's amount that they put in, it saves some work.

Let's add up everyone's contribution and then solve for x:

(2x+500)+x+(650+2x+500)

Then since we know the television costs $2,000, we can set this expression equal to that and simplify terms. Then we can solve for x:

5x+1,650=2000

5x=350

x=70

So since Ronnie put in 'x', we can say that Ronnie paid $70.

Since Mark put in '2x + 500', we can plug in 70 for x to find that Mark paid $640.

And since Lisa put in '650 + 2x + 500', we can plug in 70 for x again to find that Lisa paid $1,290.

3 0
3 years ago
The square of a negative number is twenty-eight more than three times the negative number. Find the number.
MAXImum [283]
The number is x

it is negative
the square is 28 more than 3 times itself
x²=28+3x
minus (28+3x)
x²-3x-28=0
factor
(x-7)(x+4)=0
set to zero

x-7=0
x=7
this is not the answer because we were told the number was negative


x+4=0
x=-4
correct

the number is -4
test
(-4)²=28+3(-4)
16=28-12
16=16
check


the number is -4
8 0
3 years ago
Read 2 more answers
The combined height of one fir tree and one pine tree is 212121 meters. The height of 444 fir trees stacked on top of each other
Drupady [299]

Answer:

Height of fir tree = 9 meters

height of pine tree= 12 meters

Step-by-step explanation:

The combined height of one fir tree and one pine tree is 21 meters. The height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.

Let x be the height of fir tree and y be the height of pine tree

x+y=21

Subtract x from both sides

y=21-x

height of 4 fir trees = pine tree +24

4x=y+24

Substitute 21-x or y in the above equation

4x=21-x+24

Add x on both sides

5x=45

Divide by 5 on both sides

x=9

Now plug in 9 for x and find out y

y=21-x

y=21-9

y=12

Height of fir tree = 9 meters

height of pine tree= 12 meters

4 0
4 years ago
How can 85% be broken down with friendly percents to find 85% of a number?
viktelen [127]

Answer:

it would be  C

Step-by-step explanation:

5(10%)+25%

5 0
3 years ago
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