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charle [14.2K]
3 years ago
6

You want to save $10,000 to buy a new car You doposit 6500in an account earning 7.5% simple interest. After how long will you ha

ve enough money
in the account to purchase the car? Round your answer to the nearest whole number
Mathematics
1 answer:
Stells [14]3 years ago
7 0

Answer:

After 7.5 years we will have enough money in the account to purchase the car.      

Step-by-step explanation:

Amount needed to be saved = $10000

Principal = $6500

So, Simple Interest = $3500

Rate of Interest = 7.5%

                         = 0.075

Now, Simple Interest = Principal × Rate × Time

⇒ 3500 = 6500 × 0.075 × Time

⇒ 3500 = 487.5 × Time

⇒ Time = 7.18 years ≈ 7.5 years

Hence, after 7.5 years we will have enough money in the account to purchase the car.

Step-by-step explanation:

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Quiana took out a loan to pay for a new car initially she owed the lender 15,234.68. she has repaid 247.43 of the loan each mont
mario62 [17]

Given Information:

Initial amount of loan = $15,234.68

Monthly payment = $247.43

Number of months = 5

Required Information:

Net change in loan = ?

Answer:

Net change in loan = $1,237.15 = $1,237(3/20)

Step-by-step explanation:

Quiana owed her lender an amount of 15,234.68 initially, she repaid the lender each month with an amount of $247.43 for 5 months, so the total amount that she repaid is

Total amount repaid = Monthly payment*Number of months

Total amount repaid = $247.43 × 5

Total amount repaid = $1,237.15

The remaining owed amount is given by

Balance = Initial amount of loan - Total amount repaid

Balance = $15,234.68 - $1237.15

Balance = $13,997.53

So the net change to the loan from Quiana's perspective over the past 5 months is,

Net change in loan = Initial amount of loan - Balance

Net change in loan = $15,234.68 - $13,997.53

Net change in loan = $1,237.15

or

Net change in loan = $1,237(3/20)

Therefore, the net change to the loan from Quiana's perspective over the past 5 months is $1,237.15

6 0
3 years ago
Use complete sentences to describe why Set A = {x|x is an even whole number between 0 and 2} = ∅.
dolphi86 [110]

Answer:

*1 month later*

Step-by-step explanation:

5 0
2 years ago
If A and B are independent events, P(A) = 0.25, and P(B) = 0.3, what is P(AB)?
Marrrta [24]

Answer:

P(A) = 0.25, P(B= 0.3

And if we want to find P(A \cap B) we can use this formula from the definition of independent events :

P(A \cap B) =P(A) *P(B) = 0.25*0.3= 0.075

And the best option would be:

P(A \cap B) =0.075

Step-by-step explanation:

For this case we have the following events A and B and we also have the probabilities for each one given:

P(A) = 0.25, P(B= 0.3

And if we want to find P(A \cap B) we can use this formula from the definition of independent events :

P(A \cap B) =P(A) *P(B) = 0.25*0.3= 0.075

And the best option would be:

P(A \cap B) =0.075

3 0
3 years ago
Factor the following expression using the GCF. 4dr – 16r r
AveGali [126]
The greatest common factor is 4r so

4r(d-4)
8 0
3 years ago
Read 2 more answers
Find the dimensions of the rectangle with area 289 square inches that has minimum perimeter, and then find the minimum perimeter
nalin [4]
 <span>To minimize the perimeter you should always have a square. 
sqrt(289) = 17 
The dimensions should be 17 X 17 

To see , try starting at length 1, and gradually increase the length. 
The height decreases at a faster rate than the length increases, up until you reach a square. 

Or if you want to use algebra, Say the width is 17-x 
Then the length is 289/(17-x) 

Now, this is bigger than 17+x, as shown here: 
289/(17-x) > 17+x 
289 > 289 - x^2 
which is true. 
so the perimeter would be bigger than 2 * (17- x + 17 + x) = 2 * (2 * 17) = 4 * 17 

Again, the dimensions should be a square. 17 X 17.</span>
4 0
3 years ago
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