Answer:
The amount borrowed at 20% simple interest was $7,000, while the amount borrowed at 5% simple interest was $2,000.
Step-by-step explanation:
Let x represents the amount borrowed at 20% simple interest.
Let y represents the amount borrowed at 5% simple interest.
Therefore, the amount borrowed at 5% simple interest will be:
y = 9000 - x ........................... (1)
As a result, we will have:
20%x = interest at the end of 1 year from the amount borrowed at 20% simple interest
5% * (9000 - x) = 450 - 5%x = interest at the end of 1 year from the amount borrowed at 5% simple interest
Since the total interest at the end of 1 year was $1500, we have:
20%x + 450 - 5%x = 1500
We can now solve for x as follows:
20%x - 5%x = 1500 - 450
15%x = 1050
x = 1050 / 15%
x = 7000
Substituting x = 7000 into equation (1), we have:
y = 9000 - 7000
y = 2000
Therefore, the amount borrowed at 20% simple interest was $7,000, while the amount borrowed at 5% simple interest was $2,000.
Given that
5x:9=7:3
Calculate the value of
x
Answer:
x = 4.2Step-by-step explanation:
Given 5x:9=7:3 To findThe value of xSolution5x:9=7:3 5x = 7*9/35x = 7*35x = 21x = 21/5x = 4.2Answer:
4.2
Step-by-step explanation:
5x:9=7:3
5x/9=7/3
5X×3=7×9
15x=63
X=63/15
X=4.2
So the value of the X is 4.2
A game involves drawing a single card from a standard deck. One receives 60 cents for an ace, 30 cents for a king, and 5 cents for a red card that is neither an ace nor a king. If the cost of each draw is 10 cents, what is the expected value?
Answer:
The expected game value is -1 cent
Step-by-step explanation:
Here, we want to calculate the expected value of the game
We have 4 aces and 4 kings, including 26 red cards
The number of aces is 4
Probability of drawing an ace is 4/52 = 1/13
Probability of drawing a king is also 4/52 = 1/13
There are 26 red cards
The number of red cards that are neither ace nor king
There are 2 red aces and 2 red kings
So the number of cards that are red but are not
aces nor kings are 26-2-2 = 22
The probability of selecting this is 22/52 = 11/26
So the expected value is simply the probability multiplied by the amount
Thus, we have;
(60 * 1/13) + (30 * 1/13) + (5 * 11/26)
= 60/13 + 30/13 + 55/26
= (120 + 60 + 55)/26 = 9.038 cents which is approximately 9 cents
we subtract this from the 10 cents we are playing with, thus we are left with 9-10 = -1 cent
Esme read 12 pages from her science book last night and it took her 18 minutes how long would it take her to read tonight's homework which is 22 pages long
Answer:
33 minutes
Step-by-step explanation:
It would tale her 1.5 min for each page
Susie’s bakery is having a sale on all cookies.The bakery is offering a sale pack 4 cookies
which of the following is a solution to the inequality 4x-5y<10
Answer:what is the following
Step-by-step explanation:
which value would make the statement true?
Statement- 2/?>4/12
Options- A.4
B. 6
C.12
D.24
Answer:
C and D.
Step-by-step explanation:
2/6 = 1/3 4/12 = 1/3
2/4 = 1/2
2/12 = 1/6
2/24 = 1/12
Christa wants to put a fence
around her triangular flowerbed.
The sides of the flowerbed are
six feet, eight feet and 10 feet.
How many feet of fencing will
she need to enclose her flowerbed?
Answer:
240 feet
Step-by-step explanation:
Write the equation of a line that passes through the
points shown in the table.
Which equations represent a line that passes through
the points given in the table? Check all that apply.
х
y
y-2 = -6(x + 10)
Oy-2=-1(x + 10)
-10
2
Oy-1--1(x + 4)
-4
1
y=-6x - 58
8.
-1
y=-3x+
y=-**+5
14
-2
Answer:
it's b on edge 2020
Step-by-step explanation:
you're welcome :)
The equations of the line that passes throught the point given in the table are as follows;
[tex]y = -\frac{1}{6} x+\frac{1}{3}[/tex]
[tex]y-2=-\frac{1}{6}(x+10)[/tex]
Equation of a straight lineThe linear equation of a striaght line is represented as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore,
m = 1 - 2 / -4 + 10
m = - 1 / 6
Let's find b using (-10, 2)
2 = - 1 / 6(-10) + b
2 = 5 / 3 + b
b = 2 - 5 / 3
b = 6 - 5 / 3
b = 1 / 3
hence,
[tex]y = -\frac{1}{6} x+\frac{1}{3}[/tex]
using y - y₁ = m(x - x₁)
y₁ = 2
x₁ = -10
m = - 1 / 6
Hence,
[tex]y-2=-\frac{1}{6}(x+10)[/tex]
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A fish makes 480 dives on 10 hours at this rate how many dives did the fish do in 4 hours
Answer: 1200
Step-by-step explanation:
Answer:
192
Step-by-step explanation:
First, you would divide 480 by 10 to get 48 because you divide by the number of hours.
Then, multiply 48 by 4 to get your answer.
The answer: 192
q(x)=2 −2+? please solve this huhu
Answer:
I mean it would just be q(x) = 0
Step-by-step explanation:
Answer: q=0
Step-by-step explanation: Let's solve for q.
qx=2−2
Step 1: Divide both sides by x.
qx
x
=
0
x
q=0
Answer:
q=0
Given that, 1 Chinese yuan = £0.13, convert £314 into Chinese yuan. Give
your answer to the nearest yuan.
Chinese yuan
Answer:
2415 Chinese yuan (rounded off to nearest yuan)
Step-by-step explanation:
£0.13 = 1 Chinese yuan
£314 = [tex]\frac{314}{0.13}[/tex]×1 Chinese yuan
= 2415 Chinese yuan (rounded off to nearest yuan)
In this diagram lines AB and CD are Parallel
Answer: I need a picture to find out ;-;
Step-by-step explanation:
Answer:
if youre asking for the equation its AB=CD
Step-by-step explanation:
If youre not, you'll need to attach a file or smth :'D
which equation is true
A. 0.9 = 90/100
B. 12/10 equal to 1.02
C. 1.9 = 9/100
OR
D. 18/9 = 0.2
if sin(x)=2/5 and tan(x)>0 what is sin(2x)
Answer:
B
Step-by-step explanation:
correct on edge
The answer is, sin (2x)=4√21/25
What is trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Here, given that,
sin(x)=2/5
and tan(x)>0
Then, cos(x)=√21/25
tan(x)=2/√21
Now, sin (2x)=2tan(x)/1+tan²(x)
=0.873/1.19
=0.733
=4√21/25
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Graph the system of equations on your graph paper to answer the question. y = - x + 4, \qquad y = x - 2 What is the solution for the system of equations? Enter your answer by filling in the boxes.
Answer:
y=x+2
y=-x+8
Step-by-step explanation:
Easy 6th grade question for 25 points.
Reed uses 8 pieces of glass per square foot to make a stained glass window.
How many pieces of glass will he need to make a window that is 864 square inches?
Answer:
Answer is 576. divide 864 by 12 because 12 inches is a foot and then you'll get 72 and then you multiple that by 8.
Helpppppp I don’t get it
Answer:
-3y + 2x - 4
Step-by-step explanation:
Answer:
-3y - 4 + 2x
Step-by-step explanation:
when it says combine like terms, it means combine the terms that have the same variable
-7y, -2y, and 6y all have the same variable: y
so when you combine them, you get -3y (notice that the variable doesn't change, only the number in front of it does)
-2 and -2 are like terms, they don't have a variable
when you combine them, you get -4
-4x and 6x are like terms, their common variable is x
when you combine these, you get 2x
now put your answers together to get -3y - 4 + 2x
At the start of the month, the value of an investment was $53.92. By the end of the month, the value of the investment changed by a loss of $17.40. What was the value, in dollars, of the investment at the end of the month
Answer:
$36.52
you're welcome :)
giving brainliest it’s due asap pls help
Answer:
AB is parallel to CD - the reasoning looks right aswell although I don't know exactly what I'm answering here.. are you asking to check it?
Mr. Evans is paid $10.40 per hour for the first 40 hours he works in a week. He is paid 1.5 times that rate for each hour after that.
Last week, Mr. Evans worked 41.75 hours. He says he earned $434.20 last week. Do you agree? Complete the explanation that supports your answer.
Answer:
Step-by-step explanation: 16,888 this are the answer
Sara hired her brother James to help her sell
lemonade. Sara agreed to pay James $1.00, plus
$0.10 for each glass of lemonade that he sold.
Sara paid James $3.60. How many glasses of
lemonade did James sell?
Answer:
3 Lemonade
Step-by-step explanation:
We add $1.00 with $0.10, then we get $1.10
We then divide $1.10 to the amount Sara paid
$3.60/1.10, we will get the answer 3
An element with a mass of 650 grams decays by 13.2% per minute. To the nearest minute, how long will it be until there are 220 grams of the element remaining?
Answer: 8
Step-by-step explanation:
The time taken where there is 220 grams of the element remaining should be considered as the 5 minutes.
Calculation of the time taken:Since An element with a mass of 650 grams decays by 13.2% per minute. and there is 220 grams of the element remaining.
So, the mass decays be
= 650 - 220
= 430
Now the total percentage be like
[tex]= 430 \div 650[/tex]
= 66.15%
Now the time taken should be
= [tex]66.15\div 13.2[/tex]
= 5 minutes
The time taken where there is 220 grams of the element remaining should be considered as the 5 minutes.
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1.45
--
Decimal as fraction
Answer:
1.45 as a fraction is 29/20
Step-by-step explanation:
Helppp meeee plzzz thanks
Answer:
500+4=504
Step-by-step explanation:
Hope it helps
What is 0.0033 in scientific notation?
Answer:
[tex]=3.3*10^{-3}[/tex]
Graph the line y=2+1/x
2+1= 3
So is three ;-;?
Answer:
THERE U GO
Step-by-step explanation:
HOPE THIS HELPS
Need answer quickly!
Which expression is equivalent to StartFraction b Superscript negative 2 Baseline Over a b Superscript negative 3 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
StartFraction a Over b Superscript 5 Baseline
StartFraction 1 Over a b Superscript 5 Baseline Endfraction
StartFraction a cubed b Over 1 EndFraction
StartFraction b Over a EndFraction
Answer:
2
Step-by-step explanation:
D
G
M
C
B В
K
Which points in the graph are in Quadrant II?
A) E, F, H, N
B) A, L
OC) A, L, D, F
Answer:
A) E, F, H, N
Step-by-step explanation:
I think so......
Consider the rectangle reduction.
What is the missing dimension of the reduced rectangle?
11/5, 11/8, 17/15, 17/20.
Answer:
11/15
Step-by-step explanation:
17/8 is to 17/20 as 11/6 is to x.
(17/8) / (17/20) = (11/6) / x
(17/8)x = 17/20 * 11/6
(17/8)x = 187/120
(8/17) * (17/8)x = 8/17 * 187/120
x = 11/15
Answer:
11/15
Step-by-step explanation:
just got it right !! :)
f(x) = 2x^2 + 6x – 4
g(x) = 5x^3 – 6x^2-3
Find (f +g)(x).
Answer:
5x^3 - 4x^2 + 6x - 7Step-by-step explanation:
Given
f(x) = 2x^2 + 6x – 4 g(x) = 5x^3 – 6x^2-3To find
(f +g)(x)Solution
(f +g)(x) = f(x) + g(x) =2x^2 + 6x - 4 + 5x^3 - 6x^2 - 3 =5x^3 - 4x^2 + 6x - 7