Mackey invested some money in an account paying 6% interest for one year. She invested $1000 more than this amount in an account paying 8.5%. How much did she invest in total if the total interest earned in the year was $737.50?
Step-by-step explanation:
Let's assume the amount Mackey initially invested in the 6% account is x dollars.
According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.
The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.
The total interest earned in the year is given as $737.50, so we can set up the equation:
0.06x + 0.085(x + $1000) = $737.50
Simplifying the equation:
0.06x + 0.085x + 0.085($1000) = $737.50
Combining like terms:
0.145x + $85 = $737.50
Subtracting $85 from both sides:
0.145x = $737.50 - $85
0.145x = $652.50
Dividing both sides by 0.145:
x = $652.50 / 0.145
x ≈ $4500
Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.
$4500
$4500
$4500
$4500
b. Write an equation that shows the relationship 64% of
y is 40.
c. 45 of x is 72 find the value if x
B.
[tex]0.65 \times y = 40 \\ y = \frac{40}{0.65} [/tex]
C.
[tex].45 \times x = 72 \\ x = \frac{72}{.45} \\ x = 160 \\ 45 \: percent \: of \: 160 \: is \: 72[/tex]
Ella and Jake love to skateboard. They created a frame for the ramp and then covered it with wood.
How much wood did it take to cover the ramp, including the bottom?
Give an exact answer (do not round).
Answer:
triangle side = 0.54
so both triangle sides = 1.08
and then the sides (1.5 * 3.5) * 2 = 10.5
the last side = 0.9 * 3.5 = 3.15
so add it all 3.15 + 10.5 + 1.08
total area = 14.73 m^2
Tyler has to choose which hotel he wants to stay at on his upcoming vacation. He can stay at Modest Inn or he can stay at Massive Motel which has three times as many rooms as Modest Inn plus 5 additional rooms. How many rooms does Modest Inn have if they have 85 rooms between the two of them?
Answer:
15 i think
Step-by-step explanation:
A help me outtt rq i dont know
help mee this is confusing I don't know what to do
Answer: this is telling you how many group or people there are for example in gruop b there is 2 out of 5
Step-by-step explanation:
The cost of tuition at the college that Lacy wants to attend is $12,500 per year. Lacy’s family will pay 70% of the tuition cost each year. Lacy has two years to save enough money to attend her first year of college. What is the minimum amount that she should save each month in order to have enough money to attend her first year of college?
$156.25
$729.17
$3,750.00
$312.50
Answer:
$312.50
Step-by-step explanation:
1: 12,500 x .70 = 8,750
2: 12,500 - 8,750 =3,750
3: 3,750 ÷ 12 = 312.5
Bye Bye :)
The minimum amount that she should save each month in order to have enough money is $312.5
What is percentage?A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.
Given that, The cost of tuition at the college that Lacy wants to attend is $12,500 per year. Lacy’s family will pay 70% of the tuition cost each year. Lacy has two years to save enough money to attend her first year of college.
The amount Lacy have to pay = (70-30)% of 12500 = 30% of 12500
= 125×30 = $3750
Each month = 3750/12 =32.50
Hence, the minimum amount that she should save each month in order to have enough money is $312.5
For more references on percentage, click;
https://brainly.com/question/29306119
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How many cubes with side lengths of 1/2 does it take to fill the prism?
Answer: 24 cubes
Step-by-step explanation:
3) Find the area of the polygon below. Give your answer as a number with no label. Assume your answer is square meters.
Answer:
40 m²
Step-by-step explanation:
Multiply side by side(2 m):
2×4=8 8+8=16
Multiply the perimeter:
8×2=16 4×2=8
add everything:
16+16+8=40
Hope this helps!
Which is an example of a statistical question?
Questions
Question 1 What percent did Matti score on his English test?
Question 2 What letter grade did each person score on their English test?
Question 3 Who scored the best on their English test?
Question 4 Who scored the worst on their English test?
A. question 1
B. question 2
C. question 3
D. question 4
Answer:
I think it is question 2, B
Answer:
question 2! or option B)
Step-by-step explanation:
Statistics are data that involves more then one person.
please consider marking me as brainliest! Have an amazing day lovely!
Mr. Chang buys supplies for the school store. He bought 300 pencils on sale for $10. During the first three months of school, he sold 200 pencils and made $50. The other pencils were thrown away because they were broken. How much profit did Mr. Chang make on the pencils?
Answer:
$40
Step-by-step explanation:
He bought the pencils for $10, so his expense was $10. He sold the pencils for $50, and $50 - $10 is $40, and that's the total amount of money he made.
PLEASE HELP FAST! What is the area of a circle with a diameter of 10 cm?
Answer:
i think A
Step-by-step explanation:
Answer:
c is the answer :)
Step-by-step explanation:
someone please help me
Answer:
n/2 = 9
Step by Step:
n/2 = 9
n/2 * 2 = 9 * 2
n = 9* 2
n = 18
GuYs HeLp Me I cAnT dO sImPlE mAtH
Answer:
19. ps thanks ;)
Step-by-step explanation:
Answer:21
Step-by-step explanation:
9+10=19
The question about triangles is below.
The answer choices are:
A. 30°
B. 40°
C. 75°
D. 85°
Answer:
A.
Step-by-step explanation:
Answer: Hes wrong its 40
Step-by-step explanation:picking 30 made me get an 80
PLS
Evaluate 8.3x + 7.9y when x=6 and y=7 .
Answer:
105.1
Step-by-step explanation:
you have to substitute the values in and then u add to get the answer
hope this helps :D
Answer:
105.1
Step-by-step explanation:
Rewrite 8.3x + 7.9y with the indicated substitutions:
8.3(6) + 7.9(7), or
49.8 + 55.3, or
105.1
is the expression 3^2/3^3 equivalent to 3^3/3^2
explain.
Answer:
No, the two expressions are not equivalent.
Step-by-step explanation:
3²÷3³ = 9÷27 = 1/3
3³÷3² = 27÷9 = 3
HELP PLEASE ASAP!!!!
Answer:
D and A
Step-by-step explanation:
Can someone help me figure this out if its blurry i'll try to write the whole thing out for you guys so plss answer this question
Answer:
Part 2) 5 hr
Part 3) $80 and $160
Step-by-step explanation:
Part 2) Equate the two pay equations: 20H = 10H + 50
Subtract 10H from both sides: 10H = 50
Then H = 5.
After 5 hours, each would have earned the same amount.
Part 3) In an 8-hour day, one guy would earn ($20/hr)(8 hr) = $160, and the other guy would earn ($10/hr)(8 hr) = $80.
Answer:
2. 5 hours
3. $80 and $160
USE THE SQUARE ROOT PROPERTY!!!!!
the sides of a square are reduced by 2 inches. the new area is 20 square inches. Set up and solve an equation to find the original length of the square
Answer:
Step-by-step explanation:
x = original length of one side
(x-2)² = 20 inches²
x-2 = ±√20 = ±2√5
x = 2±2√5
2-2√5 is an extraneous solution,
so x = 2±2√5 ≈ 6.47 inches
Find the unknown lengths
Here is Laila’s graph from the previous screen.
Write your own equation in the form y=mx+b that could represent Laila’s graph.
Answer:
y=-1/3x+8
Step-by-step explanation:
There is no need for any specific answers, but here is one that could logically work out. Since the graph is going left/down, it has a negative slope, so -1/3 would be reasonable. The graph doesn't cross the origin and crosses above it, so this equation must have a positive 'b' value. In this case, I chose 8. y=-1/3+8 could represent Laila's graph.
Ill give brainliest
Principal 10,000
Rate %3
How many years until the interest reaches $12,700
Answer choices:
A. 7 years B. 12 years
C. 9 years D. 22 years
can someone do 4, 5, 7 and 8 im failing math and avoiding a whooping
A rectangle has a length of 8 feet and a width of 3 feet. If a right triangle has a height of 3 feet, what length would its base be if it has the same area as the rectangle?
HHELPPPPP another math up thing #2
_________________________________
1. Estimate each amount. Show or explain how you estimated one of the amounts.
a) 3/8 of 3/4
b) 7 1/0 of 8 1/2
c) 5/2 of 5/2
2. Calculate each amount.
a) 4/5 × 3 1/5
b) 4 2/3 × 3 2/5
c) 9/4 × 6/5
3. a) Explain why this is true:
3 1/4 × 2 2/3 > 6.
b) Explain why 3 1/4 × 2 2/3 is the area of a rectangle
3 1/4 units × 2 2/3 units.
(: plllllz help!! ill give u brainlist, thank you,5 stars,+ u get the points!! :D
Answer:
wwx
Step-by-step explanation:
Can somebody please help me. I have to classify if the graph or equation is quadratic or not quadratic
a or b ?? pls help asap
Answer: B
Step-by-step explanation:
Can someone please help me find the sum of each interior angle measure of the polygon, and can you please explain. I need help on both of these questions.
Answer:
i dont know, just need some points
Step-by-step explanation:
When you translate(x , y + 6) the figure will move _____.
6 units right
6 units left
6 units up
6 units down