9514 1404 393
Answer:
$222,822.57
Step-by-step explanation:
The account balance is given by ...
A = P·e^(rt)
where P is the principal invested at interest rate r for t years.
A = $25,000×e^(0.0875·25) ≈ $222,822.57
A long-distance delivery truck averages 8 miles per gallon when the truck is full. The
miles per gallon improves by 20% when the truck is empty. If the truck travels 160 miles
full to deliver its goods, and then travels back 160 miles empty, approximately how many
gallons will the truck use in all?
The gas used by truck is 36.66 mpg.
What is linear equation?When graphed, a linear equation always produces a straight line because it is an algebraic equation with each term having an exponent of 1. It is referred to as a "linear equation" for this reason.
One-variable linear equations and two-variable linear equations exist.
Given
A long-distance delivery truck averages 8 miles per gallon when the truck is full.
The miles per gallon improve by 20% when the truck is empty.
The distance delivery truck averages 8 miles per gallon when full, and the amount of gasoline used (g) is expressed in terms of the number of miles driven ([tex]m_{f}[/tex]).
When the truck is full, the amount of gasoline is shown as,
[tex]m_{f}[/tex] = d/8
given distance is 160 miles
[tex]m_{f}[/tex] = 160/8 = 20 mpg
Then,
The miles per gallon improve by 20% when the truck is empty.
The number of miles driven when empty is represented as,
[tex]m_{e}[/tex] = d/(8 + 1.6)
[tex]m_{e}[/tex] = d/9.6
[tex]m_{e}[/tex] = 160/9.6
[tex]m_{e}[/tex] = 16.66 mpg
total gasoline required = [tex]m_{e}[/tex] + [tex]m_{f}[/tex] = 20 + 16.66 = 36.66 mpg
Hence the total gas used is 36.66 mpg.
Learn more about linear equation;
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Chad complained to his friend that he had five equations to solve for homework. Are all of the homework problems equations? Justify your answer.
Answer:
no , 1 , 3 and 4 are expressions as they don't have an equal sign .
selling price is cost price is 64 profit is 16 what is the profit percentage
Answer:
this is your Answer
hope it helps
plz mark as branliest
help me pleaseeeeeeeeeeeeeeeee
Step-by-step explanation:
-d=0.8-1.5
-d=-0.7
d=0.7
Answer:
d=0.7
Step-by-step explanation:
1.5=d+0.8
d=1.5-0.8
d=0.7
Find the area of the right triangle
Answer:
12 is the area
Step-by-step explanation:
Area is multiplication
2 width
6 length
2 times 6
find the area of the figure.
Answer:
The are is 136 cm.
Step-by-step explanation:
12 * 8 = 96cm
8 * 4 = 32cm
96 + 32 = 128cm
8 - 4 = 4 / 2 = 2
4 * 2 = 8
128 + 8 = 136cm
plz mark as brainliest if correct!
Answer:
Step-by-step explanation:
12-4=8
area=8×8+(8+4)/2 ×4
=64+6×4
=64+24
=88 cm²
The number 160 is increased by 50%. The result is then decreased by 25%. What is the final number?
The final number is what?
Answer:
60
Step-by-step explanation:
50%=.50
160×.50=80
160+80=240
25%=.25
240×.25=60
60 is the final number
Please help I have 30 mins
Answer: 0.6 in 10 % ; 0.4 in 15 %
Step-by-step explanation:
1. (x*10%) + (y*15%)/ x+y=12%
2. x+y = 1 x= 1-y
(0.1x + 0.15y/ x+y= 12/100) * 100
(10x + 15y/x+y = 12)*(x+y)
10x+15y= 12x + 12y
-2x=-3y
2x = 3y 2(1 - y)= 3y
2-2y=3y 2= 5y
y= 0.4
x= 0.6
.7 pls :P need this so I don’t fail math
Answer:
B
Step-by-step explanation:
distribute 1/2 into 2x and 4, if both sides match then its infinitely many solutions !
Is 18/5 and 7/2 proportional
Answer:
no its not
Step-by-step explanation:
Find the value of x.
Your answer
Find the measure of JH.
4(2x-1)=36
How do I answer this
Answer:
x=5
Step-by-step explanation:
4(2x-1)=36
first distribute
8x-4=36
add 4 to both sides
8x=40
divide both sides by 8
x=5
Pls awnser these i dont understand them, like i beg u
Answer:
Step-by-step explanation:
There are 120 athletes
register at the club.
If 48 athletes are girls, determine:
1. the number of girls in the club as a percentage of the total number of registered
athletes
2. the ratio of girls : boys registered at the club.
Answer:
0.48%
when we subtract 48 from120 we get 72 so 72 is the number of boys are there so we divise them and we get 2 ratio 3
Reread this sentence from paragraph 7. Click on the
definition that gives the correct connotation of the word strove.
Humans had been instrumental in driving George's
subspecies close to extinction and then strove to do
everything thay could to save it.
A) tried for the first time or began an
attempt
B) tried as an experiment or test to
see what would happen
C) tried with great effort against
difficulties
D) tried in an attempt to prove that
something is true
Answer:
tried with great effort against difficulties
Step-by-step explanation:
I got it right.
The definition that gives the correct connotation of the word strove will be tried with great effort against difficulties.
What is the meaning of the word strive?The meaning of the word strive is to make a concerted effort to achieve something or make something happen, especially over a long period of time or in the face of adversity.
Strove is the word used for past incidents. Strive is the present form of the word strove.
The definition that gives the correct annotation of the word strove will be tried with great effort against difficulties.
Hence option C is correct.
To learn more about the strive refer to the link;
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Which table represents a function ?
Answer:
Option A will be your answer
Step-by-step explanation:
hope it helps u
Help plzzzzzzzzzzzzzzzz
HELP PLEASE!!! Maia walks 12 miles. Then she walks 1/4 of that distance. select ALL of the expressions that represent the total distance she walks.
Answer:
1, 2, and 3
Step-by-step explanation:
The expressions that represent the total distance she walked are 12 + 0.5 × 12, 12(1 + 0.5), and 12×1.25.
What is a fraction?A fraction is a part of the whole represented by a/b, where a and b are any integers.
Given that, Maia walks 12 miles and then 1/4 of 12 miles.
The total distance is:
12 + 1/4 of 12
= 12 + 1/4×12
= 12 + 0.5 × 12
=12(1 + 0.5)
= 12×1.25
= 15
Hence, the expressions that represent the total distance she walked are 12 + 0.5 × 12, 12(1 + 0.5), and 12×1.25.
Learn more on fractions here:
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5. help me i’ll give you brainliest if u get this right
Answer: D.) 2
Step-by-step explanation:
In a rhombus, all sides are congruent; they have the same lengths (like a square). This means that if this parallelogram was a rhombus, 14 - x and 2x + 8 will have to be equal.
14 - x = 2x + 8
Subtract 2x from both sides
14 - 3x = 8
Subtract 14 from both sides
-3x = -6
Divide both sides by -3
x = 2
What is 9.545 x 103 in standard notation
A soccer tournament was designed with 512 teams where an eighth of the teams were eliminated after each round. Write a function, f(x), that models the number of teams still in the number of teams still in the tournament after x rounds have been played.
Answer:
f
Step-by-step explanation:
fsdsdsdwdd
5.3 lesson 14 problem set answer
6th grade math plz help
Answer: 35%
Step-by-step explanation:
13+4+3 = 20
20 - 13 =7
7/20 = 35%
Answer:
35%
Step-by-step explanation:
there are 20 pies in all
given:
13- apple
4- pecan
3- pumpkin
question:
percetange of piesbaked today were NOT apple.
solve:
4 + 3 = 7 (pecan and pumpkin)
7 ÷ 20 = .35%
check:
20 × .35= 7 (number of pies which is not apple)
find the area of the shaded area
Answer:
52 cm ^ 2
Step-by-step explanation:
the big rectangle area: 12 x 4 = 48 cm ^2
the small triangle area: 1/2 Bh = 1/2 (4 ) (3) = 12/2 = 6 cm^s
Area of the shade: 48 + 6 = 52 cm^2
simplify 2 to the power of 4 times 2 to the power of 6
Answer:
1/4
Step-by-step explanation:
=2^4×2^-6
=2^-2
=1/4
Answer:
you add the exponents so youd do 4+6 which is 10. and then 2 to the power of 10 is 1024
Avery made a large pot of chili and she plans to divide the chili equally into smaller containers if the pot contains 25 1/2 cups of soup describe two different ways to interpret 25 1/2 divided by 5 in this context
Answer: 5.1 rounded to 5
It’s due today help!
Answer:
What are u rotating by
90/ or 180 degree
Jackson spends 214 hours painting 212 pictures. He spends the same amount of time painting each picture. How much time, in hours, does Jackson spend painting each picture?
what is 15 divided by 58.5
Answer:
0.25641
Step-by-step explanation:
[tex]\frac{15}{58.5} = 0.25641[/tex]
Answer:
its actually 3.9
Step-by-step explanation:
how i know is i put 0.26 didnt work it was a wrong answer
Help meeeeeeeeeee
Help meee
Answer:
y
Step-by-step explanation:
Answer:
Sorry I don't know how to do