Answer:
its E
Step-by-step explanation:
A small business borrows $50,000 to get started. Some of the money is borrowed at 9%, some at 7%, and some at 10% simple interest. The total of the annual interest they are charged is $4340, and the amount borrowed at 7% is two times the amount borrowed at 9%. Set up a system of equations to represent the situation, then find the amounts of money (x, y, and z) borrowed at each interest rate.
Answer: Amount borrowed at 9% = 9,428.57
Amount borrowed at 7% = $18,857.14
Amount borrowed at 10% = $ 21,714.29
Step-by-step explanation:
Formula for simple interest :
I = PRT,
P= Principal, R =rate , T= time
Let x = amount borrowed at 9%.
y = amount borrowed at 7%.
z = amount borrowed at 10%.
i.e. x+y+z= 50000 (i) [Given : amount invested = 50000]
Interest on x = x (0.09)(1) [as P=x, T=1 year, r= 0.09]
= 0.09x
Similarly
Interest on y = y(0.07)(1) = 0.07y
Interest on z = z(0.1)(1)=0.1z
Total interest = 0.09x+0.07y+0.1z = 4340 (ii)
Also, y=2x [given] (iii)
Put y=2x in (i) and (ii), we get
x+2x+z= 50000 ⇒ 3x+z=50000 (iv)
0.09x+0.07(2x)+0.1z=4340 ⇒ 0.09x+0.14x+0.1z=4340
⇒ 0.23x+0.1z=4340 (v)
Multiply 10 on both sides of (v)
2.3x+z=43400 (vi)
Eliminate (vi) from (v)
0.7x=6600
⇒ x= 9,428.57
From (iii), y= 2(9428.57) =18,857.14
From (vi),
2.3(9428.57)+z=43400
⇒ 21685.71+z=43400
⇒ z= 43400-21685.71
⇒ z=21714.29
Hence, Amount borrowed at 9% = 9,428.57
Amount borrowed at 7% = $18,857.14
Amount borrowed at 10% = $ 21,714.29
GIVING BRAINIEST FOR CORRECT ANSWER
Answer:
Yes
Step-by-step explanation:
When you divide all of them they all equal the same thing
What is 130% of 56g?
The answer would be 72.8 grams
Encik Ahmad builds a rectangular shaped garden
measuring 85 m long and 30 m wide. He divides the
garden into square plots to plant a variety of flowers.
Find the number of square plots that can be built if he
only wants three different square sizes.
Answer:he should build them 25x10
Step-by-step explanation:
Encik Ahmad can build 10 square plots with three different sizes.
What is Rectangle?Rectangle is a polygon in two dimensional geometry which has four sides and four angles and each angle being right angles.
Length of the rectangular plot = 85 m
Width of the rectangular plot = 30 m
We have to find the number of square plots Encik Ahmad can built of three different sizes.
For that first we take a 45 m length of the plot.
Divide it to three equal lengths. We get three lengths with each 15 m length.
Along the width also, divide into two equal width, each having a width of 15 m.
Each 15 m length, we will get two square plots.
Along 45 m length, we get 3 × 2 = 6 square plots.
The remaining rectangle has length 40 m and width 30 m.
Divide this length as 30 m and 10 m.
So we get a square of dimension 30 m.
Remaining is a rectangle whose remaining length is 10 m and width 30 m.
Along the width, divide into three equal widths, each 10 m.
So there we get three square plots with side length 10 m.
So we have 10 square plots, 6 having the side length 15m, 1 having the side length 30 m and 3 having the side length 10 m.
Hence he get 10 square plots having three different sizes as 15 m, 30 m and 10 m.
To learn more about Rectangles, click :
https://brainly.com/question/29123947
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Simplify -7 1/8 - 9 1/2
A. - 2 3/8
B. - 16 5/8
C. 16 5/8
D. 2 3/8
Answer:
d
Step-by-step explanation:
Jakie is selling smoothies at a school fair. She starts the day with $15 in her cash box to provide change to her customers. If each smoothie cost $3.75, witch group represents the balance of the cash box,y, after Jackie sells x smoothies?
Answer:
15 + 3.75x = Y
Step-by-step explanation:
Hey do you know what 18<-2x is i dont know the answer
Answer:
[tex]x[/tex] = -9
Step-by-step explanation:
Given 18 this will be easy
18 ÷ -2
-9
x = -9
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
PLEASE HELP I'M QUITE SURE WITH THIS QUESTION
The answer is ( D ), y ≤ 6
The range begins from minimum value to maximum value.
However, in the graph. There's no minimum value as it's heading toward negative infinity.
So we use y ≤ 6 instead.
So the clear answer is y ≤ 6 or ( D )
which of these situations does not have quantities that combine to make 0.
A. In the morning, the temperature rises 30 degrees. in the evening, it falls by 30 degrees
B. Hikroko earns $20 working concessions at the football game. she earns $20 as as babysitter
C. A dolphin swims 20 feet straight down from the surface. it then rise 20 feet to reture to the surface
D. A hot air balloon rises 40 feet. it then drops 40 feet to the ground
Hurry please
Answer:
B. Hikroko earns $20 working concessions at the football game. she earns $20 as as babysitter
Step-by-step explanation:
also the person who keeps deleting all my answers i hope u break your back
An online movie streaming plan charges an annual fee of $48 plus $2 per movie watched. Another plan has no annual dee but charges $4 per movie watched. For how many movies is the cost of the plans the same? *
write and solve
Answer:
24 movies
Step-by-step explanation:
48 is a constant. 2 and 4 are variables. So we write 48+2x=4x to show they are equal after some amount of movies. Isolate to get 4x-2x=48. Simplify to get 2x=48. Divide each side by 2 to get x=24. The answer is 24.
Hope this helps!
SOLVE THE INEQUALITY
-2x < 10
Answer:
x>-5
Step-by-step explanation:
divide by -2, but flip the sign because it's negative
x>-5
Answer:
X>-5
Step-by-step explanation:
[tex] - 2x < 10 \\ [/tex]
Multiply by (-1) to get rid of - next to x, by doing so the "<" changes into ">"
[tex]2x > - 10 \\ x >- 10 \div 2 \\ x > - 5[/tex]
is this correct?! pls answerrr!?!
Answer:
Yes it is i did this test i believe this is a middle school problem from flvs.
Step-by-step explanation:
help plz its about proportionality
Answer:7
Step-by-step explanation:no need to explain
f (x) = 2x^2 - 4x + 1
Answer:
tinanong ko rin po yang tanong nyo at ito po ang sagot nilaWhat is the next term of the geometric sequence?
32, 16, 8,
Answer:
4
Step-by-step explanation:
32/2=16 16/2=8 8/2=4
The gas tank in felizs car is 5/6 full each time he drives to or from work he uses 1/12 of a full tank of gas which equation represent the number of times feliz can drive to or from work with the gas in his tank answers are either 1/10 or 7 or 5/72 or 10
Answer:
the answer is [tex]\frac{5}{6}[/tex]÷[tex]\frac{1}{12}=10[/tex]
Step-by-step explanation:
A rectangular room is 19.7 m by 7.0 m. What is the side length of a square room with the same area as the room?
Answer:
68.95
Step-by-step explanation:
John the baker baked 130 pies on Wednesday, by Friday he sold 60 pies. What percentage of pies did John the baker sell? EXPLAIN
Answer:
46.15%
Step-by-step explanation:
60/130 = .4615
multiply by 100 to get it into percentage form
46.15%
Roman solved the equation 5 a + 2 b = 10 for a. His steps are shown below.
1. Subtract 2b: 5 a + 2 b minus 2 b = 10 minus 2 b. 5 a = 10 minus 2 b.
2. Multiply by 5: a = 50 minus 10 b.
Which statement about Roman’s work is true?
I need a quick answer pls!
Answer:
In step 2, he needed to divide both sides of the equation by 5
Step-by-step explanation:
I'm very positive about this
Hope this helps!!!!!!
Answer:
step 2
Step-by-step explanation:
A postage box should weigh 1.0 pound. If there is a 5% error on the weight, what is the range of acceptable weight?
Answer: 0.95
Step-by-step explanation: 1.0 and 10% is 0.10 so 5% is 0.5 and if u take 0.5 away from 1.0 it’s 0.95
HELPPPPP!!!!!!!! ASAPPPPPPP!!!!!!!!!!
Choose the best explanation for why the graph shown is a line of best fit.
The graph shows a line of best fit because the points fit around the line.
The graph shows a line of best fit because there is a straight line.
The graph shows a line of best fit because the association is zero.
The graph shows a line of best fit because the points are plotted evenly above and below the line.
Answer:
The graph shows a line of best fit because the points are plotted evenly above and below the line.
Step-by-step explanation:
The best explanation is that the graph shows a line of best fit because the points are plotted evenly above and below the line option (D) is correct.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
We have a line of best fit shown in the picture.
As we know if the slope of the line is positive then the correlation will be positive.
From the line of best fit:
Because the points are evenly spaced above and below the line, the graph displays a line of best fit.
Thus, the best explanation is that the graph shows a line of best fit because the points are plotted evenly above and below the line option (D) is correct.
Learn more about the line of best fit here:
brainly.com/question/14279419
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a line with a slope of -3 that passes through the point (-2, 6)
I NEED ALL THE ANSWERS ITS DUE IN 10 MINUTES NUMBER THEM
Answer:
3.
a. 3.059, 3.05, 3.049, 3.04
b. 182.205, 182.105, 182.05, 182.025
4.
a. 7.68, 7.608, 7.6, 7.068
b. 439.162
Step-by-step explanation:
How many hours would someone who earns $7.50 per hour have to work to earn $116.25?
15.5
123.75
6.45
108.75
Answer:
15.5 hours
Step-by-step explanation:
cause i know
The area of Canada is approximately 1×10^7 square kilometers, and the area of Mexico is approximately 2×10^6 square kilometers. The area of Canada is approximately how many times the area of Mexico?
Answer:
5 times
Step-by-step explanation:
Given that,
The area of Canada is approximately 1×10⁷ square kilometers, and the area of Mexico is approximately 2×10⁶ square kilometers.
We need to find the area of Canada is approximately how many times the area of Mexico.
Dividing both areas as follows :
[tex]\dfrac{A_c}{A_m}=\dfrac{10^7}{2\times 10^6}\\\\\dfrac{A_c}{A_m}=5\\\\A_c=5A_m[/tex]
So, the area of Canada is approximately 5 times the area of Mexico.
Can somebody help pleaseIf a number is a whole number, then it cannot be an
A. irrational number
B. a natural number
C. an integer
D. national number
Answer:
the answer is A - An irrational number
Jim is baking chocolate chip muffins. He has a total of 7 1/3 cups of chocolate chips. If each batch of muffins uses 2/3 of a cup of chocolate chips, enter the most number of batches of muffins Jim can bake
Answer:
16
Step-by-step explanation:
The first step to answering a question like this is to turn it into an improper fraction so 7 1/3=24/3. Then divide the numerator by the denominator so 24 divided by 3=8 so 8=1/3. Their is 2/3 so do 8 times 2 which equals 16
HELPPPPPPPP
4 Renting video games from Store S costs $2.50 per game plus a monthly fee of
$5.00. Renting video games from Store T costs $5.00 per game with no monthly
fee. The monthly cost to rent video games depends on the number of video
games, v, rented. Which equation represents the situation when the monthly cost
at Store S is equal to the monthly cost at Store T?
F 2.5v + 5 = 5v
G 2.5 + 5v = 5v
H 7.5v = 5v
J 7.5v = 10v
Answer:
it is c
Step-by-step explanation:
because I said it is
Lucy can spend no more than $125 on props for a school play. She has already phurchased costume fabrics that cost $49. Write and solve an inequality to show how much more she spend on props.
Answer: 49+x≤ 125, where x = Amount she can spend more on props.
Now she can spend no more than $76 on props.
Step-by-step explanation:
Given: Lucy can spend no more than $125 on props for a school play.
I.e. Total money she can spend ≤ $ 125
She already purchased costume fabrics that cost $49.
Let x = Amount she can spend more on props.
Required inequality: 49+x≤ 125
Subtract 49 from both sides, we get
x≤ 76
Hence, now she can spend no more than $76 on props.
am i the only one that's confused? i don't get this and neither does my older sister! please tell me if u get it! :0
Answer:
I believe the answer is C. I'd have to work this out on paper to be certain, but from what i worked out mentally, i got C. lol
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
It explains all ways he can learn for each topic
Gt= Graph and text
Gv= Graph and vid
(same pattern with the rest)
and at the end
T/V= both text and video