Sam really wanted to buy a car, but did not have the money at the moment. He was talking to the salesman and they said that he could get him a loan for the car for $30,000 on a 11.41% per year interest rate compounded continuously. He wanted to spend his money on other things so he held off on paying down the balance of the loan for a while. 1. What was the loan balance 3 months in? 2. Sam has a take home pay of $40,000 a year. What percentage of his take home pay is the interest on the loan in his first year?
Answer:
1) $30,821 ( loan balance after 3 months in )
2) 8.56%
Step-by-step explanation:
Final Amount of compound interest: A = P ( 1 + i ) ^ n
p = principal = $30,000
r = interest rate = 11.41% = 0.1141
n = number of years
1) Loan balance after 3 months
n = 3/12 = 0.25 years
A = 30,000 ( 1 + 0.1141 ) ^ 0.25
= $30,821 ( loan balance after 3 months in )
2) Loan Balance after 1 year
A = 30,000 ( 1 + 0.1141 ) ^ 1
= $33423
interest on loan = 33423 - 30,000 = $3423
percentage of $40,000 is $3423
= 3423 / 40,000 * 100
= 8.56%
Can someone help me with this?
The possible answers are:
9.04
95.55
90.15
108.51
54.26
Thank you!!!
Answer:
108.51
Step-by-step explanation:
Write an equation in slope-intercept form of the line shown.
Answer:
y=2x-2
Step-by-step explanation:
The slope is 2 and your y intercept is already given as -2.
Slope intercept is basically y=mx+b
plug it in so you get y=2x-2
oof oof oof I need help again lol
Answer:
The first one is 0.6
The second one is -2.8
The third one is -3
Step-by-step explanation:
Have a nice day! :)
Does the set of numbers represent a right triangle?
20, 25, 15
Answer:
No.
Step-by-step explanation:
20+25+15 = 60
A right is 90°. Therefore, 20, 25, and 15 do not make a right angle.
Write (2x – 1) (3x – 1) in standard form.
Answer:
6x^2-5x+1
Step-by-step explanation:
Use the foil method:
multiply 2x with 3x and -1.
then multiply -1 with 3x and -1
when multiplied, you should have gotten 2x×3x=6x^2, then 2x×-1, then -1×3x=-3x, then you put all of the answers in order from variables with exponents to normal variables to non variables
PLEASEE HELP ( I need to use linear combination method). 2x + 3y = 76
-2x + 5y = 20
Answer:
It looks like there aren't many great matches for your search
Tip Try using words that might appear on the page that you’re looking for. For example, 'cake recipes' instead of 'how to make a cake'.
Answer:
(20, 12 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = 76 → (1)
- 2x + 5y = 20 → (2)
Adding the 2 equations term by term will eliminate the x- term
0 +8y = 96
8y = 96 ( divide both sides by 8 )
y = 12
Substitute y = 12 into either of the 2 equations and solve for x
Substituting into (1)
2x + 3(12) = 76
2x + 36 = 76 ( subtract 36 from both sides )
2x = 40 ( divide both sides by 2 )
x = 20
solution is (20, 12 )
Joe works for a charity. Each year the charity gives money to different projects. The charity has a total of eight thousand nine hundred and sixty-eight pounds to give to the projects this year.
Answer:
[tex]Each =\pounds 1121[/tex]
Step-by-step explanation:
See comment for complete question.
Given
[tex]Total = \pounds 8968[/tex]
[tex]Projects = 8[/tex]
Required
Determine the amount allotted to each
From the question, we understand that each project gets each allocation.
So, the amount of each is:
[tex]Each =\frac{Total}{Projects}[/tex]
[tex]Each =\frac{\pounds 8968}{8}[/tex]
[tex]Each =\pounds 1121[/tex]
Each project gets £1121
2. P = (2,3,5,7, 11, 13, 17)
Q = (11, 13, 15, 17, 19)
a) Draw a Venn diagram to illustrate the above
information.
b) Copy and complete the following statements:
i) PnQ= (...) ii) PUQ= {...}
Answer:
please give brainiest
PnQ={11,17,13}
PuQ={2,3,5,7,11,13,17,15,14}
please mark brainiest thank you
Which systems of equations have infinite solutions
2x+y 31
+ y = 18
2x+y 10
изу +7
y 14 - 2x
0x3y12
y 13 - 2
1x 3.10
2x + y 14
X 13 - 2y
2x+y 17
Ox3y - 61
A father is 20 years older than his son. Five years ago,he was three times as old as his son was.Find their present ages
Answer:
Dad=35, Son=15
Step-by-step explanation:
Well since the dad is 20 year older then the son we can call the son x and the dad x+20. Now five years ago the father was 3 times older then the so we construct the following equation:
x+20−5=3(x−5)
x+15=3x-15
x=15
So now we know that the sons age is 15 meanimg that since the dads 20 years older then him, his age is 20+15 which is 35!
what is x7 * x-5 ?????????
[tex]7x \times x - 5[/tex]
Pemdas!
7x·1x=7x
[tex]7x - 5[/tex]
This equation can't be evaluated, but you could make up. an answer by yourself, this is just the other way of saying x7·x-5
Answer:
7x²-5
Step-by-step explanation:
hope it helps
The radius of a circle is 17 m. Find its area in terms of pi.
Answer:
289m²
Step-by-step explanation:
Area of circle =πr²=π×17²=289m² when r=radius =17m
Triangle ABC is congruent to triangle DCE by...
SSS
AAS
ASA
SAS
Answer:
ASA
Step-by-step explanation:
Angeline bought s yards of satin fabric priced at $8.09 per yard, and c yards of cotton fabric priced at $3.79 per yard. What expression could you use to determine the total cost of the fabric? If she bought 5 yards of satin fabric and 8 yards of cotton fabric, how much did Angeline spend in all?
Answer:
$70.77
Step-by-step explanation:
Cost of 's' yards of satin fabric= 8.09*s = 8.09s
Cost of 'c' yard of cotton fabric = 3.79 * c = 3.79c
Total cost of fabric = 8.09s + 3.79c
s = 5 yards ; c = 8 yards
Plugin the value of s and c in expression,
8.09*5 + 3.79*8 = 40.45 + 30.32
= $ 70.77
Need help don’t like math help
Answer:
50.65 grams
Step-by-step explanation:
Answer:
Step-by-step explanation:
Total amount of salt = 38.1 + 12.55 = 50.65 grams
38.10 +
12.55
50.65
Yum-Yum-Yum restaurant has just increased the wages they pay their employees. to help offset this added expense, Yum-Yum-Yum must mark up their meals by 12% if the average meal costs $7.99, how much will it cost after the markup?
Answer:
12% of 7.99
=0.96$
so...
The cost after Markup
=7.99$+0.96$
=8.95$answer/explanation:
carry out these steps: 12% of 7.99 = $0.96 and use fraction if u may like. therefore the new cost after the markup is $7.99 + $0.96 which is then equal to your final answer - $8.95!
A: f(x) = -100(4)^x
B: f(x) = -200(2)^x
C: f(x) = -50(4)^x
D: f(x) = -400(2)^2
PLEASE HELP!!!!
What is the measure of ZXYZ?
113*
A
37"
Z
A. 38°
B. 56.5°
C. 760
O.
D. 75°
Answer:
C
Step-by-step explanation:
The solution is, the measure of ∠ZYC is 108 degrees.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
Given:
m∠XYZ = 72 degrees
m∠XYZ and m∠ZYC form a linear pair.
Let's find the measure of ∠ZYC.
To find the measure of angle ZYC, apply the Linear Pair of Angles theorem which states that the sum of angles that form a linear pair is 180 degrees.
Hence, we have:
m∠XYZ + m∠ZYC = 180
72 + m∠ZYC = 180
• Subtract 72 from both sides:
72 - 72 + m∠ZYC = 180 - 72
m∠ZYC = 180 - 72
m∠ZYC = 108 degrees.
Therefore, the measure of ∠ZYC is 108 degrees.
ANSWER:
C. 108°
To learn more on angle click:
brainly.com/question/28451077
#SPJ7
Complete question:
If ZXyz and ZZYC form a linear pair and the measure of ZXYZ is 72°, whatis the measure of ZZYC?O A. 28°B. 18°C. 108°D. 72°
Help pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
(4p^2+3)(p+2)
Step-by-step explanation:
- 3(x - 7) + 2 = 20 I need help to solve it
Answer:
x=1
Step-by-step explanation:
First you will distribute it
U basically multiply the 3 by the X and the 7 here
-3 x (x = -3x And the 7 becomes a 21
Then you add the 2
21 + 2 = 23
Then you add the -3
-3x + 23 =20
Then using the equation above you subtract 23 from both sides
(-3 + 23) - 23 = 20 - 23
Then you simplify it
-3x = -3
Then you divide them using the same term
-3
÷ -3
Then you simplfy it and you get
x=1
Which inequality is true when c = 6.2?
5c<32
2c>12.4
29≥4.7c
37≤5.9c
Answer:
is this for a quiz or test? or just homework?
Step-by-step explanation:
Answer:
1 is correct, 2 is incorrect(=), 3 is incorrect(<), 4 is incorrect(>)
what is 5,256 divided by 8
Answer:
657
Step-by-step explanation:
......................
Find the sum of the arithmetic sequence.
-10, -7, -4, -1, 2, 5, 8
Answer:
s7= -7
Step-by-step explanation:
If 6 cakes cost £1.80, how much do 4 cost
The kindergarten teachers bought fruit flavored juice boxes for their End-of-Year party. Each individual juice box contains 225 milliliters of juice. Each package contains 8 boxes. There are 1,000 milliliters in 1 liter.
Answer:
5,000000
Step-by-step explanation:
so imultiplyied
Pls help ASAP.......
Answer:$25.50
Step-by-step explanation:
Convert the problem to an equation using the percentage formula: P% * X = Y.
P is 10%, X is 150, so the equation is 10% * 150 = Y.
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10. Im not sure if this is the nearest cent but here are the steps to find the nearest cent.
Answer:
it will cost $25.5
Step- by-step explanation:
so $30 by 15 divide it by 1 hundred so and will by equal to $4.5
Find the missing side (to 2dp)
Answer:
x = 17.74 cm
Step-by-step explanation:
tan 29 = x/32
0.5543 = x/32
x = 17.74 cm
Answer:
17.74 to 2 dp.
Step-by-step explanation:
tan 29 = x/32
x = 32 tan 29
= 17.7379.
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
I think it's -14
Step-by-step explanation:
x = 0 so the x won't be included but
-2 • x = -2x
-12 • x = -12x
-2x + (-)12x = -14
hope this helps :)
i need the area of a rectangle, the middle is 5ft the right is 6ft and the bottom is 5ft. thank u
Answer:
length times width for area so its 5x6=30