Answer:
or
Step-by-step explanation:
If Alexa worked 30 hours last week and earned $450, then her hourly payment is
Her payment has now been increased by 20%, so her hourly payment becomes
If she worked h hours, then she earned If her new payment is p, then
or
Answer:
x = - 2, x = -
Step-by-step explanation:
Given
5x² + 1 = - 13x - 5 ( add 13x - 5 to both sides )
5x² + 13x + 6 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 5 × 6 = 30 and sum = 13
The factors are 10 and 3
Use these factors to split the x- term
5x² + 10x + 3x + 6 = 0 ( factor the first/second and third/fourth terms )
5x(x + 2) + 3(x + 2) = 0 ← factor out (x + 2) from each term
(x + 2)(5x + 3) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
5x + 3 = 0 ⇒ 5x = - 3 ⇒ x = -
Answer:
The student will have to reimburse 2,991.03 two years later.
Step-by-step explanation:
This is a compound interest problem:
The compound interest formula is given by:
In which A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.
In this problem, we have that:
A is the amount the student will have to reimburse two years later.
P is his loan. so
The bank loans this money at a rate of 9 % capitalized monthly. This means that and
, since the money is compounded monthly, this means, 12 times in a year.
He will have to reimburse two years later, so
The student will have to reimburse 2,991.03 two years later.