Answer:
The amount that would be in the account after 30 years is $368,353
Step-by-step explanation:
Here, we want to calculate the amount that will be present in the account after 30 years if the interest is compounded yearly
We proceed to use the formula below;
A = [P(1 + r)^t-1]/r
From the question;
P is the amount deposited yearly which is $4,500
r is the interest rate = 2.5% = 2.5/100 = 0.025
t is the number of years which is 30
Substituting these values into the equation, we have;
A = [4500(1 + 0.025)^30-1]/0.025
A = [4500(1.025)^29]/0.025
A = 368,353.3309607034
To the nearest whole dollars, this is;
$368,353
Answer:
Yes they are congruent
Step-by-step explanation:
You know this because of the angle that is marked. You can also know this because of the length of the sides and how its only a rotation of 180 degrees
Answer:
Solution tends to infinity
Step-by-step explanation:
Given the expression
(3x-2)/(x+3)-1=(3x-3)/(x+1)-2
This can also be expressed as;
(3x-2)/x+2 = 3x-3/x-1
3x-2/x+2 = 3(x-1)/x-1
3x-2/x+2 = 3
Cross multiply
3x-2 = 3(x+2)
3x-2 =3x+6
Collect like terms
3x-3x =6+3
0x = 9
x = 9/0
x = infinity
Hence the expression had no solution. It tends to infinity
Answer:
11) to know the 20% of 70$ we need to 70÷100×20 = 14 now the sale price will ne 70-14$ = 56$
12) same 20% of 92= 92÷100×20= 18.4 $ so now original price= 92+18.4 = 110.4
13) same 40% of 30$ = 30÷100×40 = 12$ now selling price = 30-12$= 18$
Answer:
D
Step-by-step explanation:
(f - g)(x)
= f(x) - g(x)
= 3x² - 4 - (x + 2) ← distribute parenthesis by - 1
= 3x² - 4 - x - 2 ← collect like terms
= 3x² - x - 6
