Answer: $1250
Step-by-step explanation:
Given data:
Cost of car = $35,000
Down payment made = $2500
Interest rate = 5.25%
Duration of loan = 6 years
Loan Amount = $3000
Solution:
I = prt/100
where
I = interest
p = principal ($30,000)
r = 5.25%
t = 6
I = $30,000 * 5.25 * 6 /100
= $9450
interest payable on the loan in 6 years is $9450.
Rental
=$600 monthly * 6(12)
= $43,200
Amount made from renting the car is $43,200.
• Money saved by Benjamin in 6 years
= $43,200 – $32500 + $9450
= $43,200 – $41,950
= $1250
Benjamin would have saved $1250 in 6 years.
A pump removes 1500 gal of water from a pool at a constant rate 40 gal/min. Which equation models the amount of water y in the pool after t minutes?
A. y = 40t + 1500
B. y = -40t - 1500
C. y = 40t - 1500
D. y = -40t + 1500
Pls help evaluate the expression
Answer:
135
Step-by-step explanation:
3^3 = 27
27 x 10 / 2
270/2
135
What is the intermediate step in the form (x + a)2 = b as a result of
completing the square for the following equation?
-3x2 - 36x = 300
Answer:
we need to add a²=6² to both sides of [tex]x^2+12x+6^2=-100+6^2[/tex] in order to rewrite in the form [tex]\left(x\:+\:a\right)^2\:=\:b[/tex].
Step-by-step explanation:
Given the equation
[tex]-3x^2-36x=300[/tex]
First of all, we need to divide both sides by -3 to simplify it
i.e.
[tex]\frac{-3x^2-36x}{-3}=\frac{300}{-3}[/tex]
[tex]x^2+12x=-100[/tex]
In order to rewrite in the form [tex]\left(x\:+\:a\right)^2\:=\:b[/tex], we need to add a²=6² to both sides
[tex]x^2+12x+6^2=-100+6^2[/tex]
so
[tex]\left(x+6\right)^2=-64[/tex]
Therefore, we need to add a²=6² to both sides of [tex]x^2+12x+6^2=-100+6^2[/tex] in order to rewrite in the form [tex]\left(x\:+\:a\right)^2\:=\:b[/tex].
can anyone help out with this?
9514 1404 393
Answer:
(x, f(x)) = (1, 6), (2, 11), (3, 18), (4, 27)
Step-by-step explanation:
Each figure consists of two small squares and a square that has a side length of 1 more than the figure number. That is, ...
f(x) = (x +1)^2 +2
You can count the squares in figures 1-3. Figure 4 will be 2 more squares than 5^2 = 25, so will be 27 squares.
(x, f(x)) = (1, 6), (2, 11), (3, 18), (4, 27)
Can someone help me solve this math equation? The answer is suppose to be 1 because that's what it says on my book but I got -1 as an answer?
|-24| ÷ [4(9-15)]
Answer:
it is 1
Step-by-step explanation:
Answer:
The answer is -1
Step-by-step explanation:
You find the absolute value of -24 which is 24
Then you multiply 4x(-6) to get -24
24 ÷ -24 = -1
DO NOT PAY MONEY FOR THIS SERVICE! SKETCHY EUROPEAN SCAM SIGHT!
Took my money, browser page and app will no longer display answers and I cannot use the contact us interface.
There is NO CUSTOMER SERVICE NUMBER.
THIS IS A S C A M BE WEARY
Answer:
Okie?
Step-by-step explanation:
Calculator
(4y + 10°
What is the value of y?
Enter your answer in the box.
75°
(3x)
B
с
y =
The answer is 5, if you still need it.
Answer: 5
Step-by-step explanation:
took the test
A large flagpole stands outside of an office building. Marquis realizes that when he looks up from the ground, 60m away from the flagpole, and the top of the building line up. If the flagpole is 35m tall, and Marquis is 170m from the building, how tall is the building?
Answer:
99.166666666666666666666; 595/6; 99 1/6; 99
Step-by-step explanation:
THE FORMULA IS (x)/(170)=(35)/(60)
solve for x
copy the formula in bold and paste it to math w]y:
(x)/(170)=(35)/(60)
choose the option to solve for x and 99.666666666666∞ is the answer.
What is always true about a linear pair?
O A. The sum of angle measures is 180°.
B. Each angle measure is the same.
O C. The sum of angle measures is 90°.
D. The sum of angle measures is 360°.
Answer:
O A. The sum of angle measures is 180°.
Step-by-step explanation:
A linear pair of angles are supplementary.
They must add up to 180°.
Linear pairs also would form a straight angle. A straight angle is 180°.
Hope this helps.
what is the formula to find principal
Answer:
We can rearrange the interest formula
Write equation of line that goes through
pt (7,10) and has a slope of -5/3
Answer:
in point slope form the answer is y-10 = -5/3x + 35/3
in slope intercept form the answer is y = -5/3x + 21 2/3
not sure which form you need to answer in
Please help youll get brainliest
Determine the output for each input value in the following function.
y=x/2 +1
Two lines are parallel, but are not the same line. Which of the following is not true of the lines? A. The slopes are the same. B. The lines have no points in common. C. The y-intercepts are not the same. D. The lines must have a positive slope. Please select the best answer from the choices provided A B C D
Answer:
D
Step-by-step explanation:
Parallel lines must have the same slope. They could have points in common. If the y-intercepts were the same, taking into consideration the fact that the slopes have to be the same, it would be the same line and as the question directs, they are not. Parallel lines can have negative slope, as long as their slopes are equal.
Please help .... I’ll give the brainliest
Find the perpendicular line.
A. y'= -3x + 1
B. y = (1/3)x + 1
C. y = 3x - 1
D. y = -(1/3)x - 1
Answer: The answer is B. (1/3)x+1.
Step-by-step explanation:
Answer:
Step-by-step explanation:
AB ⊥ CD
[tex]m_{CD}[/tex] = - [tex]\frac{1}{m_{AB} }[/tex]
~~~~~~~~~~~~~~~
Slope of given line is m = [tex]\frac{1}{3}[/tex]
Slope of a perpendicular line is ( - 3 )
y = - 3x + 1
the numerator of a fraction x/y is 2 less than the denominator. If 3 is added to both the numerator and denominator, then the sum of the new fraction and the original fraction is 53/35 find the quadratic equation.
Answer:
Step-by-step explanation:
Fraction :x/y
numerator x = y - 2
Now the fraction can be written as: (y-2)/y
3 is added to both denominator and numerator.
After adding 3, the new fraction = [tex]\frac{y-2 +3 }{y + 3 } = \frac{y+ 1 }{y +3}[/tex]
The sum of the new fraction and the original fraction is 53/35
[tex]\frac{y+1}{y+3} + \frac{y-2}{y} = \frac{53}{35}\\\\\frac{(y+1)*y}{(y+3)*y}+\frac{(y-2)*(y+3)}{y(y+3)}=\frac{53}{35}\\\\\frac{y^{2}+y}{y^{2}+3y}+\frac{y^{2}+y-6}{y^{2}+3y}=\frac{53}{35}\\\\\frac{y^{2}+y+y^{2}+y-6}{y^{2}+3y}=\frac{53}{35}\\\\\frac{2y^{2} + 2y - 6}{y^{2}+3y}=\frac{53}{35}\\\\[/tex]
35*(2y² + 2y - 6) = 53 *(y² + 3y)
35*2y² + 2y * 35 - 6*35 = 53 *y² + 53*3y
70y² + 70y - 210 = 53y² + 159y
70y² + 70y - 210 - 53y² - 159y = 0
70y² - 53y² + 70y - 159y - 210 = 0
17y² - 89y - 210 = 0
Answer:
17y^2 - 89y - 210 = 0
Step-by-step explanation:
Original fraction: x/y
The numerator is 2 les than the denominator, x = y - 2
Original fraction: (y - 2)/y
New fraction:
Add 3 to the numerator and denominator of the original fraction:
(y - 2 + 3)/(y + 3) = (y + 1)/(y + 3)
Add the new fraction and old fraction and get 53/35.
(y - 2)/y + (y + 1)/(y + 3) = 53/35
35y(y + 3)[(y - 2)/y] + 35y(y + 3)[(y + 1)/(y + 3)] = 35y(y + 3)(53/35)
35(y + 3)(y - 2) + 35y(y + 1) = 53(y^2 + 3y)
35(y^2 + y - 6) + 35(y^2 + y) = 53y^2 + 159y
17y^2 - 89y - 210 = 0
Which conditional statement is true?
A. If two angles are acute, then they are complementary
B. If an angle is acute, then it’s measure is less then 90.
Answer:
B
Step-by-step explanation:
Answer:
B is the correct conditional statement, since all acute angles are less than 90 degrees.
A box has 18 candies in it: 3 are peppermint, 4 are caramel, and 11 are taffy. Jina wants to select two candies to eat for dessert. The first candy will be selected at random, and then the second candy will be selected at random from the remaining candies. What is the probability that the first candy selected is caramel and the second candy is taffy? Do not round your intermediate computations. Round your final answer to three decimal places.
11/18 = 0.61111111 (continuing)
3/18 = 0.166666 (continuing)
4/18 = 0.222222(continuing)
caramel = 0.2222222 x taffy = 0.6111111111
probability = 0.1358024691358, 0.136.
13.6%
The probability that the first candy selected is caramel and the second candy is taffy is 0.175
What is probability?Probablity is the likelihood or chance that an event will occur.
Probability = expected/total
If a box has 18 candies in it, the total outcome will be 18
If the probability that the first candy selected is caramel is 4/18
If the probability that the second candy selected is randy is 11/18
Pr(caramel and randy) = 4/18 * 11/18
Pr(caramel and randy) = 2/9* 11/18
Pr(caramel and randy) = 11/63
Hence the probability that the first candy selected is caramel and the second candy is taffy is 0.175
Learn more on probability here: https://brainly.com/question/25870256
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(x+5)(3x+2)
Area as a sum is what i need
Answer: 3x^2 + 7x + 10
Step-by-step explanation:
You need a 45% alcohol solution. On hand, you have a 175 mL of a 25% alcohol mixture. You also have 70% alcohol mixture. How much of the 70% mixture will you need to add to obtain the desired solution?
175 mL at 25% concentration of alcohol contains 0.25 (175 mL) = 43.75 mL of alcohol. If v is the amount of the 70% solution that you use, then that amount contains 0.7v mL of alcohol.
Mixing these two yields a total volume of 175 mL + v, and it contains 43.75 mL + 0.7v alcohol. You want to end up with a concentration of 45%, which means the ratio of the amount of alcohol to the total volume needs to be 0.45:
(43.75 mL + 0.7v) / (175 mL + v) = 0.45
Solve for v :
43.75 mL + 0.7v = 0.45 (175 mL + v)
43.75 mL + 0.7v = 78.75 mL + 0.45v
0.25v = 35 mL
v = 140 mL
The fastest man in the world can run 100 meters in 9 sec how far can he run in 1 minute and 2 second plz answer am in exaaam
Answer:
689 mStep-by-step explanation:
The speed is:
100 m in 9 secondsTo find:
Distance in 1 minute and 2 secondsDistance = speed * time
Distance is:
100/9 meter /seconds * 1 min and 2 seconds =100/9 m/s *62 s =6200/9 m = 688.88 m ≈ 689 m rounded to the nearest meterQuick i need an answer, not that hard, will give brainliest. Please answer truthfuly, or i will report.
during the first play of a football game, you lose 3 yards. you gain 7 yards during the second play. what is your total gain of yards for these two plays ?
Answer:
I think 4
Step-by-step explanation:
-3+7=4
Answer:
4 yards
Step-by-step explanation:
Lose 3 yards then gain 7 yards is the same as -3 + 7. -3 + 7 = 4
The solution to 9(x+2) = 5 - 2(x - 1) is
*Show your work*
Answer:
x=-1
Step-by-step explanation:
9(x+2) = 5 - 2(x - 1)
9x+18 = 5-2x+2
9x+18 = -2x+7
+2x = +2x +7
-----------------------
11x+18 = 7
-18 = -18
-----------------------
11x = -11
÷11 = ÷11
-----------------------
x = -1
Answer:
x = -1
Step-by-step explanation:
9(x+2) = 5 - 2(x-1)
9(x+2) = 5 - 2(x - 1)
9x+18 = 5-2x+2
9x+18 = -2x+7
+2x +2x
11x + 18 = 7
-7 -7
11x + 11 = 0
-11 -11
11x = -11
x = -1
In the figure below, lines w and z are parallel. What is the value of x
Answer:
U should do like this...
1,500 divided by 8 step by step
Answer:
1500 divided by 8 = 187.5
Step-by-step explanation:
1,500 divided by 8 is equal to 187, with the remainder of 4.
To divide 1,500 by 8 step by step, we can follow the long division method.
We start by dividing the first digit of the dividend (1) by the divisor (8). Since 1 is smaller than 8, we move to the next digit of the dividend.
We bring down the next digit of the dividend (5) and divide 15 by 8. The quotient is 1, and the remainder is 7.
8 ) 1,500 ( 187R4
- 8
_____
70
- 64
_____
60
- 56
_____
4
Quotient = 187
Remainder = 4
Therefore, 1,500 divided by 8 is equal to 187, with the remainder of 4.
To learn more about the division operation click here :
brainly.com/question/25870256
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Daily Snowfall ( in inches ) during January in Syracuse New York
Answer:
d
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
A local artist painted a copy of cezannes painting. it measures 88 in. ×74in. is the copy similar to the original? explain
Answer:
ch coale punoo cancents la de oor qqui soor
Step-by-step explanation:
Please show your work. Convert decimals into fractions in simplest form
Write each decimal as a fraction in simplest form., And explain how you got your answer
1, :0.5=
2: 0.7=
3.0.33=
4: 0.875= 5.
Mr Ravenhead's car averages 23.75 mile per gallon. Express this amount as a mixed number in simplest form. Explain how you got answer.
Answer:
1. 0.5 = 5/10 ÷ 5 = 1/2
2. 0.7 = 7/10
3. 0.33 = 33/100 ÷ 33 = 1/3
4. 0.875 = (875/1000) ÷ 125 = 7/8