Answer:
20
Step-by-step explanation:
Phyllis invested $13,000, a portion earning a simple interest rate of 5¼% per year and the rest earning a rate of 5% per year. After one year the total interest earned on these investments was $672.50. How much money did she invest at each rate?
Answer:
Phyllis invested $9000 at the rate of 5.25% and $4000 at the rate of 5%.
Step-by-step explanation:
Formula for the simple interest is,
Interest = [tex]\frac{P\times r\times t}{100}[/tex]
Here, P = Principal amount
r = rate of interest
t = Duration of investment
Let Phyllis invested amount (at 5.25% rate of interest) = $x
Therefore, Interest on this amount,
Interest = [tex]\frac{5.25\times x}{100}[/tex]
= $0.0525x
If he invested the rest amount $(13000 - x) at the rate of 5%,
Interest earned on this amount = [tex]\frac{(13000-x)\times 5\times 1}{100}[/tex]
= $(650 - 0.05x)
Interest earned on total amount = $672
Therefore, $0.0525x + $(650 - 0.05x) = $672.5
0.0025x + 650 = 672.5
0.0025x = 22.5
x = $9000
Rest amount = 13000 - 9000
= $4000
Phyllis invested $9000 at the rate of 5.25% and $4000 at the rate of 5%.
Find the area of parallelogram ABCD given me A = 300 and the following measures.
AB = 10 in., AD= 6 in
A-
30 in
3013 in 60 in
Answer:
30 in²
or
60 inches
Hope this helps ^-^
Which equation and solution can be used to solve this problem? Twenty-two less than a number is twenty-four. O Q+ 22 = 24. Subtract 22 from both sides. The answer is 2. 0 24+9= 22 Subtract 22 from both sides. The answer is 2 O9-24 = 22. Add 24 to both sides. The answer is 46. 09-22 = 24. Add 22 to both sides. The answer is 46.
Answer:
Step-by-step explanation:
q minus 22 = 24: Add 22 to both sides. The answer is 46.
The scale of a room in a blueprint is 5 in.: 9 ft. A wall in the same blueprint is 30 in. Complete the table.
Blueprint length (in.) 5
10
15
20
25
30
Actual length (ft)
9
How long is the actual wall?
The actual wall is
feet long
A window in the room has an actual width of 4.5 feet. Find the width of the window in the blueprint.
The width of the window in the blueprint is
in.
Answer:
54 feets
2.5 inches
Step-by-step explanation:
Given that:
Scale model:
5 in : 9ft
If 5 in = 9 ft
Hence, 1 in on the blue print equals
5 in = 9 ft
1 in = x
Cross multiply
5x = 9
x = 9/5 feets
Hence, 1 inches on the blueprint equals 9/5 feets actual
Blueprint length (in.) ___ Actual length (ft)
5 _________ 9
10 ________ 18
15 ________ 27
20 _______ 36
25 _______ 45
30 _______ 54
Hence ;
5 * 9/5 = 9 feets
10 * 9/5 = 18 feets
15 * 9/5 = 27 feets
20 * 9/5 = 36 feets
25 * 9/5 = 45 feets
30 * 9/5 = 54 feets
Window with actual width of 4.5 feets
Width of window in blue print :
Actual width ÷ 9/5
Actual width = 4.5 = 4 1/2 = 9/2
9/2 * 5 /9
= 5 /2
= 2 1/2 inches = 2.5 inches
Find the amount Enca owes at the end of 3 years if $6500 is loaned to her at a rate of 4% compounded monthly
Answer:
7311.616
Step-by-step explanation:
6500 x 1.04^3
What is the area of the rectangle below?
a. 16 units
b. 32 units?
c. 39 units
d. 52 units?
3 units
13 units
Answer:
39 units
Step-by-step explanation:
when its a rectangle just multiply the two side lengths together to get the answer
WOWOWOWOWLWLWLWKWKWKWKWLWL
Answer:
chicken nugget
Step-by-step explanation:
Write as a repeated addition. Use fraction
strips or a number line to calculate each
answer.
a) 2 x 1/3
b) 2 x 5/4
c) 4 x 5/2
d) 5 x 1/6
e) 6 x 3/5
f) 7 x 7/6
Please answer it it as quickly as possible....
Answer:
A) 2/3
B) 5/2
C)5/2
D) 5/6
E) 9/5
F) 49/6 (LOWEST TERM IT URSELF PLS)
can someone please help?
Answer:
g
Step-by-step explanation:
jada has a meal in a restaurant she adds up the prices listed on the menu for everything they ordered and gets a subtotal of $42.00. When the check comes, it says they also need to pay $3.99 in sales tax. what percentage of the subtotal is the sales tax. After tax, the total is 45.99. What percentage of the subtotal is the total?
Answer:
To find out the percentage, you do (3.99/42) * 100.
Step-by-step explanation:
what is the solution to the system y= 2x-3 y= -x+3
Please help i really need help on a b and c
-2(-6x+2u-3)
-3x-6(-6y+6x)-2y
-3(w+6)+5w
PLEAZE SIMPLIFY THEESE FOR ME ASAP please i need this really bad :(
pleze help i will like it so you can get more pints plzzzzzzzz :(
Answer:
12x-4u+6-3x+36y-36x-2y-3w-18+5w= -27x-4u-12+34y+2w
I can't belive i am answering this instead of doing my homework
Step-by-step explanation:
Write the equation of the line given a slope of 0 through the point (5, -7)
Answer:
y=-7
Step-by-step explanation:
y-y1=m(x-x1)
y-(-7)=0(x-5)
y+7=0
y=0-7=-7
1. Write the next three terms of the arithmetic sequence
1, 8, 15, 22, ...
Answer:
29,36,43
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
the numbers are being added by 7
1 + 7 = 8
8 + 7 = 15
and so on
need help asap plsss
Answer:
x = 29°
y = 29°
z = 102°
Step-by-step explanation:
x and y both look even to the 29° angle across from them and z looks even to the 102° angle across from it.
which equation represents the line that has a slope of 4 and passes through the point (2, 7)?
(A) y = 4x - 1
(B) y = 4x + 15
y=x+4
D y =
= 2x-4
Answer:
A) y = 4x - 1
Step-by-step explanation:
y = mx + b
y = 4x + b
7 = 4(2) + b
7 = 8 + b
-1 = b
y = 4x - 1
Eric needs to cut a board into 6 equal pieces. The board is 4 feet long.
How long will each piece be?
Answer: 24 feet long or 10 feet long.
Step-by-step explanation: I Hope this helps Have a Blessed day.
Select all possible solutions
help!
Nevaeh has read 168 pages of a 210- page book. What percent of the book has Nevaeh not read?
Answer:
168 ÷ 210 X 100
80 % is your answer
Step-by-step explanation:
folloe me plzzz
20 POINTS PLZ HELP
4. You are taking out an adjustable rate mortgage with an initial APR of 4% for
years 1 - 5, loan amount: $224,000 for 30 years. What is the monthly payment and
total cost for the first 5 years? Which line(s) did you use on the calculator and
what did you enter for B, R, T and m.
Answer:
mmm... i think its 6-
Step-by-step explanation:
A car dealership pays $8,350 for a car. They markup the price by 17.4% to get the retail price. What is the retail price of the car at this dealership?
Answer:
I belive its $9,802.9
Step-by-step explanation:
$8,350 x 0.174 ( 17.4 ÷ 100)
= $1,452.9
$8,350 + $1,452.9 = $9,802.9
please help i have 1 hour to compleate
Answer:
2nd one is right
I am confused boii
Step-by-step explanation:
LIVE AND LET LIVE music on the outline map of india mark
3
4 -
8
5
1 -
8 797968686
I need help, I need to find the value of j, thank you
Step-by-step explanation:
[tex] \sin(x) = \frac{8}{10} \\ x = 53.13[/tex]
[tex] \sin(53.13) = \frac{4}{j} \\ j = \frac{4}{ \sin(53.13) } = \frac{4}{0.8} = 5[/tex]
Write the equation of the line in slope-intercept form: y=mx+b
Given: Point (1,3) Slope: 2
Answer:
y=2x+1
Step-by-step explanation:
y-y1=m(x-x1)
y-3=2(x-1)
y-3=2x-2
y=2x-2+3
y=2x+1
I urgently need help!!!!!!
Answer:
You are given a right triangle. The sum of the two acute angles should add up to 90 degrees. Set up an equation using the expressions given and solve for x. Once you know the value of x plug it back into each expression to find the measure for each angle.
Step-by-step explanation:
Angle 1 + angle 2 = 90
solve for x = ____
Plug the value into each expression to find the measure of each angle.
Answer:
D
Step-by-step explanation:
(2x+6)+(5x+14)=90
7x+20=90
7x=70
x=10
(2x+6)=26°
(5x+14)=64°
What is the equation of the line that passes through (5,-3) and (3,7)
Answer:
-5x +22
Step-by-step explanation:
104.65/ 35
pls help and can u show me a example
Answer:
2.99 or 3
Step-by-step explanation:
Solve: x - 9.5 = -10.5
Answer:
x = -1
Step-by-step explanation:
x - 9.5 = -10.5
x = -10.5 + 9.5
x = -1