Answer B. $168.75
Step-by-step explanation:
I took the test and I got it correct and I will tell you guys the other answers if you have these same questions.
1) Scott invests $1000 at a bank that offers 6% compounded annually. Write an equation to model the growth of the investment.
Answer: D) A = 1000(1.06)t
2) Find the maturity value of a loan of $2500 at simple interest that is to be repaid in 8 months. The interest rate is 4.3%.
Answer: B) $2571.67
3) Owen has a loan for $3700 at a rate of 5% annually. If the interest is not compounded, what is the total amount of repayment if the loan is for 7 years?
Answer: D) $4995.00
4) Davis puts $5,000 each year in an account that earns 5% annual interest, compounded annually. His brother Mike puts $5,000 each year in a safe in his bedroom. After the first 10 years of doing this, how much more money does Davis have than Mike? Round your answer to the nearest dollar.
Answer: A) $20,524
5) Ally is buying a speed boat for $10,000 with a down payment of $2,500. The bank approved a simple interest flat rate loan for 5 years at 7% APR. How much are the monthly loan payments? (round to the nearest cent)
Answer: B) $168.75
The monthly loan payments should be [tex]\$168.75[/tex].
Option B is correct.
Simple interest :Given that, Ally is buying a speed boat for $10,000 with a down payment of $2,500.
Remaining amount Ally have to pay,
[tex]=10000-2500=7500[/tex]
Rate of interest [tex]r=7\%[/tex] , time [tex]t=5[/tex] years and Principal [tex]P=7500[/tex]
Simple interest, [tex]S.I=\frac{P*r*t}{100}[/tex]
[tex]S.I=\frac{7500*7*5}{100} \\\\S.I=2625[/tex]
In 5 years, Ally have to pay,
[tex]=7500+2625=10125[/tex]
In one month, Ally have to pay [tex]=\frac{10125}{60}=\$168.75[/tex]
Learn more about the simple interest here:
https://brainly.com/question/2294792
write the following as ratio and simplif 3km to 12km
Answer:
1:4
Step-by-step explanation:
3:12
((3×1):(3×4))
=1:4
(would love if you could mark me the brainliest :))
Answer:
3 : 12 = 600 : 2400
Step-by-step explanation:
Which best describes a trapezoid?
A) 4 angles, 1 set of parallel sides
B) 4 angles, 2 sets of parallel sides
C) 4 right angles, 4 unequal sides
D) 4 equal angles, 4 equal sides
please help.....
WILL GIVE BRAINLIEST!
A triangle has an area of 72 square yards. The height is 9 yards. What is the base?
Answer:
16 yards
Step-by-step explanation:
Using the formula
A=hb/2
Solving forb
b=2A/hb=2·72
9=16yd
Solve for x:
8x^2−3=2
Please provide a step-by-step answer.
Answer:
[tex]\rf x=\frac{\sqrt{10}}{4},\:x=-\frac{\sqrt{10}}{4}[/tex]
step wise explanation:
[tex]\rf 8x^2 - 3=2[/tex]change sides:
[tex]\rf 8x^2 =2+3[/tex]simplify
[tex]\sf 8x^2 = 5[/tex]change sides:
[tex]\sf x^2 = \frac{5}{8}[/tex]changing square to square root:
[tex]x = \pm \sqrt{\frac{5}{8} }[/tex]normal answer:
[tex]\rf \sqrt{\frac{5}{8} } \ \ or -\sqrt{\frac{5}{8} }[/tex]apply radical rule of
[tex]\rf \frac{\sqrt{5} }{\sqrt{8} } } \ \ or \rf -\frac{\sqrt{5} }{\sqrt{8} } }[/tex][tex]\sf \frac{\sqrt{5}}{2\sqrt{2}} \ \ or \ \ \sf -\frac{\sqrt{5}}{2\sqrt{2}}[/tex]rationalise:
[tex]\frac{\sqrt{5}\sqrt{2}}{2\sqrt{2}\sqrt{2}} \ \ or \ - \frac{\sqrt{5}\sqrt{2}}{2\sqrt{2}\sqrt{2}}[/tex]final answer, simplified:
[tex]\rf x=\frac{\sqrt{10}}{4},\:x=-\frac{\sqrt{10}}{4}[/tex]Answer:
[tex]x = \boxed{ \frac{\sqrt{10}}{4} , - \frac{\sqrt{10}}{4} }[/tex]
Step-by-step explanation:
We can solve this question by using the method of finding the square root.
The given equation is:
[tex]8x ^ { 2 } -3=2[/tex]
Add 3 to both the sides of the equation.
[tex]8x^{2}=2+3[/tex]
Now, add 2 & 3 to get 5.
[tex]8x^{2}=5[/tex]
Dividing both the sides of the equation by 8, we get...
[tex]x^{2}=\frac{5}{8}[/tex]
Now, take the square root of both the sides of the equation...
[tex]x =\sqrt{ \frac{ 5 }{ 8 } } \\x = \frac{\sqrt{5}}{\sqrt{8}} \\[/tex]
Rationalize the denominator.
[tex]x = \frac{\sqrt{5}}{2\sqrt{2}} \\x = \frac{\sqrt{5}\sqrt{2}}{2\left(\sqrt{2}\right)^{2}} \\x = \frac{\sqrt{5}\sqrt{2}}{2\times 2} \\x = \frac{\sqrt{10}}{2\times 2} \\x = \boxed{ \frac{\sqrt{10}}{4} , - \frac{\sqrt{10}}{4} }[/tex]
[tex]\rule{200}{3}[/tex]
The value of x = [tex]\boxed{ \frac{\sqrt{10}}{4} , - \frac{\sqrt{10}}{4} }[/tex][tex]\rule{200}{3}[/tex]
Hope this helps!
Please solve this question
Answer:
a = [tex]\frac{-7}{3}[/tex] (because point P is 7 units away from line x = 0, so point P' must also be 7 units away from the line in the other direction)
b = 2
The figure below shows two half-circles at the ends of a rectangle with the dimension shown.
Which is closest to the area of the figure in square inches?
A. 75
B.95
C.106
D.154
Answer:
D. 154
Step-by-step explanation:
The area of the rectangle is 15*5= 75 inches
The area of the 2 semicircles combined, which make a circle, are:
π*r², where r is 5
r²=25
π*25=78.53981633
75 + 78.53981633 is about 154
There is a pair of parallel sides in the following shape.
What is the area of the shape?
Answer:
21
Step-by-step explanation:
It is a Trapezium so the formula will be 1/2 * (base 1 + base 2) * height
so 1/2 * ( 9+5) * 3
= 1/2 * 14 * 3
= 1/2 * 42
= 21
This is my first time answering someones' question as I am new to Blainly...So please mark me Brainlist.
Thank You!
:)
Answer: 21
Step-by-step explanation:
Ian's car can go 195 miles on 5 gallons of gas. During a drive last weekend, Ian used 4 gallons of gas. How far did he drive? Use pencil and paper. Explain how the problem changes if you were given the distance Ian drove last weekend instead of how much gas he used.
I need the correct answers help pls
Answer:
find the sample variance and standard deviation
Step-by-step explanation:
f(g(x)) = f( 4x ) = (4x)² - 8(4x) + 4 = 16x² - 32x + 4
Can what of you kind men or women help me with this question?
Answer:
The area is 48 square units.
Step-by-step explanation:
Split up the shape into 2 shapes a rectangle and a Triangle.
Rectangle:
[tex]6*4=24[/tex]
Triangle:
[tex]6*4=24[/tex]
Add them up:
[tex]24+24=48[/tex]
~Kandy~
Hope this Helped!
Brainliest Please!
What are the vertices of A’B’C’ is ABC is dilated by a scale factor of 1/6?
Answer:
B
Step-by-step explanation:
we need to take each value in each ordered pair and divide it by 6:
A' = (12/6, 0/6) → (2,0)
B' = (18/6, 6/6) → (3,1)
C' = (6/6, 12/6) → (1,2)
Help please I need to not fail
what to tell you this looks difficult
:?
Frank paid $22.44 I sweatshirt had been discounted by 30% what is the regular price the sweatshirt
Answer: $32.06
Step-by-step explanation:
Let the regular price of the sweatshirt be x.
Therefore,
$22.44 = x - 0.3x
22.44 = 0.7x
x = about $32.06
Answer:
Step-by-step explanation:
22.44 represent 70% of the normal price of the sweatshirt.
Why 70%?
The reason is if you take 30% of the original price and subtract that from thirty %, you will get 70% of the original price.
Original price = 70% of x
Equation
70% x = 22.44
70/100 x = 22.44 Multiply both sides by 100
70 x = 22.44 * 100
70 x = 2244 Divide both sides by 70
70x/70 = 2244 / 70
x = 32.06
Answer: The sweatshirt originally cost 32.06
Brainliest if correct
Answer:
1. (-4)^2 = 16
2. (-3)^3 = -27
Step-by-step explanation:
need help pls help me
Answer:
angle AOD measures 81 degrees.
To find compound angles, simply add the said angles together
e.g Angle COA is angle COB + BOA
Step-by-step explanation:
Answer:
The third answer
Step-by-step explanation:
COD makes a very wide obtuse angle.
factor the following x^2+4x+2
Answer:
Find out the factors of 3x² + 4x - 4.
To prove
As given in the question
= 3x² + 4x - 4
simplify the above
= 3x² + 6x - 2x - 4
= 3x(x +2) -2(x + 2)
= (3x - 2) ( x - 2)
The factors of the 3x² + 4x - 4 are (3x - 2) ( x - 2) .
and from the option given in the question (3x -2 ) is the factor of the 3x² + 4x - 4.
Step-by-step explanation:
have a great day
Andre hires two gardeners to landscape his lawn. He pays each of the gardeners $30 per hour. If both gardeners work for 8 hours, how much does Andre owe the gardeners for work?
Graph the line that represents the equation
y=-30 +1
A teacher has 16 paper clips in one box and 48 paper clips in another box the teacher separates all of the paper clips into 8 equal groups. How many paper clips are in each group
(A) 6
(B) 8
(C) 24
(D) 64
I think it’s D 64
I’m not sure, sorry if it’s wrong
Answer:
8
Step-by-step explanation:
16+48=64
64/8=8
Helen says the sum of two prime numbers is always even. patty disagrees who is correct? Explain your answer
Answer:
Patty
Step-by-step explanation:
The sum of 2 + 3 is 5 so it is not always a even number
Helen Ming receives a travel allowance of $180 each week from her company for time away from home. If this allowance is taxable and she has a 24 percent income tax rate, what amount will she have to pay in taxes for this employee benefit?
Answer:
She has to pay $2246.4 in taxes for this employee benefit.
Step-by-step explanation:
First find the annual travel allowance equal to weekly allowance x 52 weeks = $180 x 52 = $9,360
When you get the annual travel allowance, find the annual tax.
Annual tax =Annual travel allowance × Tax rate
=$9,360 × 0.24
=$2,246.40
3/8×1/3×3/4=?
What is is the answer???
The exact form is: 3/32
And the decimal form is: 0.09375
Dana is given the total surface area of a rectangular pyramid. She is asked for the lateral surface area. Describe how Dana can use the given information to determine the lateral surface area.
To get the lateral surface area, dana will subtract the two base area from the total surface area.
Total surface area of rectangular prism
The total surface area of a rectangular prism is the sum of the areas of all of the faces or surfaces that enclose the solid. Therefore,
2lw + 2wh + 2lhwhere
l = length
w = width
h = height
Lateral surface area of a rectangular prismThe lateral surface area of a rectangular prism is the surface area of the solid without the bases.
Therefore,
LA = 2 ( l + w ) hTotal surface area = Lateral surface area + 2 (Base Area)
Total surface area = 2 (l + w) h + 2 (l x w) = 2lh + 2wh + 2lw
Therefore,
Lateral surface area = Total surface area - 2 (Base Area)
To get the lateral surface area, dana will subtract the two base area from the total surface area.
learn more on rectangular pyramid here: https://brainly.com/question/3096481
Kindly answer it thanks
Onion; Self-propagation
yeast; budding
starfish; fussion
potato; tubers
ginger; Self-propagation
Write the function whose graph is the graph of y=x^3 but is shifted down 1 unit.
Check the template in the picture below.
[tex]y = x^3\implies y=\stackrel{A}{1}(\stackrel{B}{1}x+\stackrel{C}{0})^3 +\stackrel{D}{0}\qquad \qquad \underset{\textit{shifted down by 1 unit}}{y=\stackrel{A}{1}(\stackrel{B}{1}x+\stackrel{C}{0})^3 \stackrel{D}{-1}}\implies y=x^3-1[/tex]
VI) You finally purchased a backup oxygen tank needed for the base which originally cost
$50,000 on sale for $18,000. (3 points)
a) How much did you save?
b) What fraction of the original price was this?
c) What % of the original price was this?
Answer:
a) $32,000
b) 9/25
c) 36%
Step-by-step explanation:
Hello!
A) How much did you save?
Let's see. In order to find the savings, we must subtract the new price from the original.
50,000 - 18,000 = 32,000You saved $32,000 (a pretty good deal!)
B) What fraction of the original price was this?
To find the fraction, we must divide the new price from the original.
18,000/50,0009,000/25,000 => SImplify9/25 => SimplifyIt's 9 twenty-fifths of the original price.
C) What fraction of the original price was this?
Convert the fraction to percent
9/259*4/25*4 => Denominator of 10036/10036%Milan tutors history. For each hour that he tutors, he earns 50 dollars. His earnings, (in dollars), after tutoring for hours is given by the following function.
Total pay = (50dollars/hour) * (h hours)
Hope that helps!
If (2^(3x-1) + 10) ÷ 7 = 6, the value of x is
Answer:
x = 2
Step-by-step explanation:
Start by multiplying both sides by 7
Simplify
Subtract both sides by 10
Simplify
Apply exponent rules
Solve
Dante will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $63.96 and costs an additional $0.10 per mile driven. The second plan has an initial fee of $51.96 and costs an additional $0.15 per mile driven. How many miles would Dante need to drive for the two plans to cost the same?
answer: 240 miles
Answer:
Sir it says the answer at the bottom of the question
Step-by-step explanation:
It is 240 and I also did the math (.10 * 240 = 24 + $63.96 = 87.96)
and (.15 * 240 = 36 + 51.96 = 87.96) the answer is 240!
An internet company randomly selected 50 of its
customers and asked them how many hours per
week they use the internet. Of those surveyed, 28
use the internet more than 15 hours per week.
Based on the data, if the company has 800
subscribers how many watch more than 10 hours
per week?
Answer:
448 subscribers
Step-by-step explanation:
First, find the percentage of people that use the internet more than 15 hours per week.
[tex]\%=\frac{28}{50}=0.56=56\%[/tex]
Now, we can use this information to find 56% of 800.
[tex]56\%*800[/tex]
Note that percentages can also be written as that number over 100.
[tex]\frac{56}{100}*800=\frac{44800}{100}=448\text{ subscribers}[/tex]
