Answer:
<em>A = $5183.36</em>
Step-by-step explanation:
<u>Compound Interest</u>
It occurs when the interest is reinvested rather than paying it out. Interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:

Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Abdul deposited P=$4000 into an account with r=2.6% = 0.026 compounded quarterly. Since there are 4 quarters in a year, n=4. We are required to calculate the amount in the account after t=10 years.
Applying the formula:


A = $5183.36
Answer:
Equation: ($26÷4 hours) × 25 hours
Answer: $156.25
Step-by-step explanation:
First, you would have to find out how much she earns per hour, so $26÷4. Then you multiply that by 25.
(26÷4) x 25=$156.25.
(hope this helps :P)
Answer:
59 to 66
Step-by-step explanation:
Mean test scores = u = 74.2
Standard Deviation =
= 9.6
According to the given data, following is the range of grades:
Grade A: 85% to 100%
Grade B: 55% to 85%
Grade C: 19% to 55%
Grade D: 6% to 19%
Grade F: 0% to 6%
So, the grade D will be given to the students from 6% to 19% scores. We can convert these percentages to numerical limits using the z scores. First we need to to identify the corresponding z scores of these limits.
6% to 19% in decimal form would be 0.06 to 0.19. Corresponding z score for 0.06 is -1.56 and that for 0.19 is -0.88 (From the z table)
The formula for z score is:

For z = -1.56, we get:

For z = -0.88, we get:

Therefore, a numerical limits for a D grade would be from 59 to 66 (rounded to nearest whole numbers)
Answer:
Simplify
A ⋅ 13−oz.
−oz+13 A
Simplify
a⋅20+0z.
20a
List all of the solutions.
A⋅13−oz=−oz+13A 78=−oz+13a⋅20
The ODE is linear:


Multiplying both sides by
gives

Notice that the left side can be condensed as the derivative of a product:

Integrating both sides with respect to
yields


Since
,

so that
