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:
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
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:
The length of a rectangle is 10 in more than 5 times the width. The perimeter is
500 in. What is the area?
P=2W+2L
Area=L*W
Area =
Answer:
50
Explanation
Area=L x w
Area = 10 x 5
50
what are the values for x and y?
Can somebody help answer all these right plz!
(WILL MARK BRAINLIEST)
Thanks!
Answer:
22.8, 28, 3, 12.2, 31.5, 6
Step-by-step explanation:
15.
17-(4.4/2)+8
17-(2.2)+8
25-2.2
22.8
16.
(7^2-7)/3*2
(49-7)/3*2
42/3*2
14*2
28
17.
14/2-16/4
7-4
3
18.
3.2+3*6/2
3.2+18/2
3.2+9
12.2
19.
7*.3*(8.1+6.9)
2.1*(15)
31.5
20.
11-(7.6+7.4)/5
11-(15)/3
11-5
6
Hope it helped!
Answer:
15.) 22.8
16.) 28
17.) 3
18.) 12.2
19.) 31.5
20.) 8
Sorry for being a little slow. I had to calculate each one :)
A tree is planted and is expected to grow according to the model below, where t is the number of years since the tree was planted and H is the height of the tree, in feet. = 3 + 5 0 ≤ ≤ 100 How many years after the tree is planted does the model predict the height of 65 feet?
Answer:
20 years
Step-by-step explanation:
Given
[tex]H = 3t + 5[/tex]
[tex]0 \leq H \leq 100[/tex]
Required
Solve for t when H = 65ft
[tex]H = 3t + 5[/tex]
Substitute 65 for H
[tex]65 = 3t + 5[/tex]
Make 3t the subject
[tex]3t = 65 - 5[/tex]
[tex]3t = 60[/tex]
Solve for t
[tex]t = 60/3[/tex]
[tex]t = 20[/tex]
This implies that the duration is 20 years
Does anyone know the correct choice for this question? If its correct ill mark you as the best answer choice! Please!
Answer:
H
Step-by-step explanation:
Once graphed, the line passes through (-4,2) while the others do not
Hunter is trying to save $600 go to summer camp. He already has $150. If he earns $7.50 per hour working at a grocery store, how many hours will he have to work?
Answer:
60 hours
Step-by-step explanation:
simple,multiply 7.50 and 60 =450 plus 150 =600
Solve the following system of equations: (2 points) 5x + y = 9 3x + 2y = 4 a (−2, 5) b (1, 4) c (2, −1) d (4, −4)
I need help with this problem on the math test, It's due TONIGHT! Plz help me with my math
Answer:
the first problem is - 85 and you continue from there
We have the price of a senior ticket is $4 and the price of a child ticket is $7
Step-by-step explanation:
We can form two equations, let the price of a senior ticket be s and the price of a child ticket be c.
We have from day 1:
A: 3s + 9c = 75
And from day 2:
B: 8s + 5c = 67
Now we can rewrite A as:
A: 24s + 72c = 600
And can rewrite B as:
B: 24s + 15c = 201
Now A-B can be written as:
A-B: 57c = 399
So c = 7
Now substituting this back into A we get:
A: 3s + 63 = 75
A: 3s = 12
So s = 4
We have the price of a senior ticket is $4 and the price of a child ticket is $7
A construction crew has just finished building a road. The crew worked for 2 2/9 days. If they built 2 1/5 kilometers of road each day, what is the total length of road they built.
write your answer as a mixed number in simplest form.
Answer:
Step-by-step explanation:
2 2/9 * 2 1/5
Change to improper fractions
20 11
---- x ------
9 5
220 / 45 Divide top and bottom by 5 (you could have done this first)
44/ 9
4 8/9
In a certain town there were 458 robberies last year. This year the number of robberies has gone down 14%. How many robberies were there this year, to the nearest whole number?
Answer:
64 robberies
Step-by-step explanation:
45.8 is 10%
4.58 is 1%
4.58 times 4 is 18.32
45.8 plus 18.32 is 64.18 or just 64
Evaluate if x = 2.5 and y = –14.6.
–x – |y|
1. -17.1
2. -12.1
3. 12.1
4. 17.1
f (x) = 2x^2 - 4x + 1
Answer:
tinanong ko rin po yang tanong nyo at ito po ang sagot nilaThe weights of 3 puppies at one week old were 6.5 ounces, 7.3 ounces, and 6.4 ounces. Of each puppy gained 2.1 ounces, how much would the puppies weigh?
Answer:
Puppy 1 = 8.6 ounces
Puppy 2 = 9.4 ounces
Puppy 3 = 8.5 ounces
Step-by-step explanation:
Weights of 3 puppies at one week old were
Puppy 1 = 6.5 ounces
Puppy 2 = 7.3 ounces
Puppy 3 = 6.4 ounces
Each puppy gained 2.1 ounces
Puppy 1 = 6.5 ounces + 2.1 ounces
Puppy 2 = 7.3 ounces + 2.1 ounces
Puppy 3 = 6.4 ounces + 2.1 ounces
New weight
Puppy 1 = 8.6 ounces
Puppy 2 = 9.4 ounces
Puppy 3 = 8.5 ounces
If the puppies each gained 2.1 ounces, the new weight is given above
help plz its about proportionality
Answer:7
Step-by-step explanation:no need to explain
100 POINTS IF RIGHT AND BRAINLESIT!!!
Answer: D
Step-by-step explanation: YAY POINTS ITS RIGHT I DID IT ON EDGE
Answer:
The correct answer would be C
explanation:
They are not parallel
For her birthday, Kendra received a gift card in the mail from her grandparents. The gift card was worth $50. Kendra thought, since she had just received other gifts for her birthday, she would wait a while to spend the gift card. Unfortunately, Kendra forgot all about the gift card, and the card loses $5 every month after its date of purchase if it has not been used. If Kendra forgot the card for three months, she lost $______. 15 9 12 10
Answer:
She lost $15 for three months.
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:
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
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
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
Which of the following lines is parallel to x=4?
y=4
x=2
3y=9
x=y
Amanda paid $59.00 for 8 pairs of shorts. At this rate, how much will she pay for 14 pairs of shorts? Round to the nearest hundredth (cent). Example: 5.645 rounds to 5.65.
Answer:
The amount of 14 pairs of shorts is $ 103.25
Step-by-step explanation:
Given;
amount paid for 8 pairs of short, = $59.00
Then, a single pair short will cost ; $59.00 / 8 = $7.375
Buying at this rate, Amanda will pay the following amonut for 14 pairs.
The cost of 14 pairs of short is given as;
= 14 x $7.375
= $ 103.25
Therefore, the amount of 14 pairs of shorts is $ 103.25
The Marquez family drove 191.8 miles for a weekend getaway This took them 2.8 hours. How many miles per hour did the Marquez family average?
Answer:
68.5 mph
Step-by-step explanation:
191.8 ÷ 2.8 = 68.5
Among all pairs of numbers whose sum is 100, find a pair whose product is as large as
possible. (Hint: express the product as a function of x)
Answer:
99+1
Step-by-step explanation:
Answer:
28936
Step-by-step explanation:
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
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: