Answer:
- $85,000 at 6.25%
- $65,000 at 6.00%
Step-by-step explanation:
Let x represent the amount invested at 6.25%. Then the total interest earned is ...
0.0625x + 0.0600(150,000 -x) = 9212.50
0.0025x = 212.50 . . . . . . subtract 9000, collect terms
x = 212.50/0.0025 = 85,000
150,000 - 85,000 = 65,000 . . . . amount invested at the lower rate
$85,000 is invested at 6.25%; $65,000 is invested at 6%.
Answer:
hi
Step-by-step explanation:
first of all,we should do this:
1 year is 12 month
amd 4 year is 48 month(12×4)
then we must add 2 months (wich is given) to 48
He was 50 months old when he started school
and we should find how old is he now
11 ×12=132months
132+1=133months
133-50=83 ( he has been 83 months in school)
let's turn it to years 6 years 11 months
( for finding years you should divide 83 to 12)
hope it helps
Answer:
Greatest Common Factor: 24
Step-by-step explanation:
The greatest common factor is found by multiplying all the factors which appear in both lists: So the GCF of 24 (2x2x2x3) and 48 (2x2x2x2x3) is 2x2x2x3 which is 24.
The total number of cars both the student and the teacher made is 49
let
total cars = x
cars made by student = s
cars made by teacher = t
Total = student + teacher
x = s + t
s = 2/7x
So,
x = 2/7x + t
x - 2/7x = t
t = (7x - 2x) / 7
t = 5/7x
Similarly,
s = t - 21
s = 5/7x - 21
equate both s equation
2/7x = 5/7x - 21
2/7x - 5/7x = -21
(2x - 5x) / 7 = -21
- 3/7x = -21
x = -21 ÷ -3/7
= -21 × - 7/3
= (-21 × -7) / 3
= 147/3
x = 49
Therefore, the total number of cars both the student and the teacher made is 49
Learn more about fractions:
brainly.com/question/11562149
Answer:
The numbers are 19 and 5
Step-by-step explanation:
Given
Let the numbers be
So:
--- First statement
--- second statement
Required
Find x and y
Substitute in
Rewrite as:
Expand
Factorize
Solve for y
or
or
or
Since the numbers are positive, we take only:
Substitute in
<em>The numbers are 19 and 5</em>