Answer:
If Grey ran 2.4 times as many miles as Emory, then 2.08 x 2.4 = 4.992
Step-by-step explanation:
4.992
Answer:
4.992
Step-by-step explanation:
Hey there !!!
to find the answer to this problem you multiply the number of miles that grey ran to the number of miles that Emory ran:
2.4 * 2.08 = 4.992
Hope it helped !!
have a wonderful day
PLS MATH QUIZZ
Jeremiah invested $70,000 in an account paying an interest rate of 6.8% compounded daily.Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $99,000?
Answer:
t≈
5.1
Step-by-step explanation:
A=99000 P=70000 r=0.068 n=365
Given values
99000
70000
(
1
+
0.068
365
)
365
t
70000(1+
365
0.068
)
365t
Plug in values
99000
=
99000=
70000
(
1.0001863
)
365
t
70000(1.0001863)
365t
Simplify
99000
70000
=
70000
99000
=
70000
(
1.0001863
)
365
t
70000
70000
70000(1.0001863)
365t
Divide by 70000
1.4142857
=
1.4142857=
1.000186
3
365
t
1.0001863
365t
log
(
1.4142857
)
=
log(1.4142857)=
log
(
1.000186
3
365
t
)
log(1.0001863
365t
)
Take the log of both sides
log
(
1.4142857
)
=
log(1.4142857)=
365
t
log
(
1.0001863
)
365tlog(1.0001863)
Bring exponent to the front
log
(
1.4142857
)
log
(
1.0001863
)
=
log(1.0001863)
log(1.4142857)
=
365
t
log
(
1.0001863
)
log
(
1.0001863
)
log(1.0001863)
365tlog(1.0001863)
Divide both sides by log(1.0001863)
1860.731865
=
1860.731865=
365
t
365t
Use calculator
1860.731865
365
=
365
1860.731865
=
365
t
365
365
365t
Divide by 365
5.0978955
=
5.0978955
It would take 5 year for the value of the account to reach $99,000.
What is Future Value?The worth of a current asset at some point in the future based on an estimated rate of growth is known as future value (FV). For investors and financial planners, the future value is crucial because they use it to predict how much an investment made now will be worth in the future.
Given:
P = $70000
R= 6.8%
SV = $99000
For Compounded Daily
A = P [tex](1+ (R/100)/ 365) ^{365n[/tex]
99000 = 70000 [tex](1+ (0.068/100)/ 365) ^{365n[/tex]
[tex](1+ (0.068/100)/ 365) ^{365n[/tex] = 1.414
[tex](1. 00019)^{365n[/tex] = 1.414
[tex]1.072^n[/tex] = 1.414
and, n=5 years
Hence, it would take 5 year for the value of the account to reach $99,000.
Learn more about future Value here:
https://brainly.com/question/14860893
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Your teacher is giving you a test that has 30 questions and is worth 200 points. Some questions are worth 5 points and some are worth 10 points. How many of each question are on the test?
Answer:
20 5-point questions and 10 10-point questions
Step-by-step explanation:
In ΔKLM, l = 820 cm, m = 560 cm and ∠K=169°. Find the length of k, to the nearest centimeter.
Answer:
1374
Step-by-step explanation:
delta math
The length of the side k in the given triangle is 1,373.9 cm.
What is cosine law?The law of Cosines, also known as Cosine Rule or Cosine Formula basically relates the length of the triangle to the cosines of one of its angles.
Given that, in ΔKLM, l = 820 cm, m = 560 cm and ∠K=169°, we need to find the length of side k,
Using the cosine law,
k² = l²+m² - lmCos169°
= 820²+560²-(820)(560)cos169°
= 1,373.9
Hence, the length of the side k in the given triangle is 1,373.9 cm.
Learn more about cosine law, click;
https://brainly.com/question/17289163
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5 divided by 7/8 as a fraction
Pls help 44 points
Answer:
5.714 (rounded to the nearest thousandth)
Step-by-step explanation:
Will mark brainliest! A retailer marks up the price of a coffee mug from $6.25 to $8.77. By what percent did the price increase? Round to
two decimal places
a 28.73%
b 39.68%
c 40.32%
d 45.97%
Answer:
The answer is C, 40.32
Step-by-step explanation:
If you put 6.25 in your calculator times 40.32% you get 2.52. Then you add the 2.52 to 6.25 to get 8.77.
Find the perimeter of this semi-circle with radius,
r
= 26cm.
Give your answer as an expression in terms of
π?
Answer:
26x2,
52xπ
Step-by-step explanation:
The perimeter of this semi-circle with a radius of 26 cm will be 81.64 cm.
What is the circumference of a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Let 'r' be the radius of the circle. The circumference of the circle will be
C = 2πr units
The radius of the semicircle is given as,
r = 26 cm
Then the circumference of the semicircle is half of the circle. Then we have
C = 1/2 x 2πr
C = πr
At r = 26 cm, then we have
C = 3.14 x 26
C = 81.64 cm
The perimeter of this semi-circle with a radius of 26 cm will be 81.64 cm.
More about the circumference of a circle link is given below.
https://brainly.com/question/27177006
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Solve the equation.
p2 - 10p + 21 = 0
Answer:
p = 3 or p = 7
Step-by-step explanation:
Answer:
p²-7p-3p+21=0
p(p-7)-3(p-3)=0
(p-3)(p-7)=0
either
p=3
or
p=7
Explain how to isolate the variable in the equation−2/3+7=15. solve for n
Answer:
n = - 0.0833
Step-by-step explanation:
Given expression
[tex]\frac{-2}{3n } +7 = 15[/tex]
Cross multiplication , we get
[tex]\frac{-2}{3n } = 15 -7[/tex]
[tex]-2 = 8 X 3 n[/tex]
⇒ [tex]\frac{-2}{24} = n[/tex]
n = - 0.0833
Pls help answer asap
Answer:
x = 3
Step-by-step explanation:
3 ( x + 3 ) = 18
( 3 ) ( x ) + ( 3 ) ( 3 ) = 18
3x + 9 = 18
3x + 9 − 9 = 18 − 9
3x = 9
3x/3 = 9/3
x=3
I hope this helps you :D
4 to 7 equals 21 to what
Answer:
Step-by-step explanation:
I dunno wether addition or multiplication, if it's multiplication, it would be 36.75 if it's addition, then it's 24
PLZZZ HELP ME OUT........................ PLZZ
Answer:
a) constant of proportionality is 3/5
b) 3.5cm per 1 minute
c) 21 cm water in trough after 6 min
d) 70 cm
Step-by-step explanation:
d) 21 / 6 = x / 20
7 / 3 = x / 20
2x = 140
x = 70
5x−4y=34
−x+8y=22
elimination
Answer:
The solution to the system of equations is:
[tex]x=10,\:y=4[/tex]
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}5x-4y=34\\ -x+8y=22\end{bmatrix}[/tex]
Multiply -x+8y=22 by 5: -5x+40y=110
[tex]\begin{bmatrix}5x-4y=34\\ -5x+40y=110\end{bmatrix}[/tex]
so adding the equations
[tex]-5x+40y=110[/tex]
[tex]+[/tex]
[tex]\underline{5x-4y=34}[/tex]
[tex]36y=144[/tex]
solve 36y = 144 for y:
[tex]36y=144[/tex]
divide both sides by 36
[tex]\frac{36y}{36}=\frac{144}{36}[/tex]
Simplify
[tex]y=4[/tex]
For 5x-4y=34 plug in y=4
[tex]5x-4\cdot \:4=34[/tex]
[tex]5x-16=34[/tex]
Add 16 to both sides
[tex]5x-16+16=34+16[/tex]
Simplify
[tex]5x=50[/tex]
Divide both sides by 5
[tex]\frac{5x}{5}=\frac{50}{5}[/tex]
Simplify
[tex]x=10[/tex]
Therefore, the solution to the system of equations is:
[tex]x=10,\:y=4[/tex]
find the common difference of the arithmetic sequence -2,-4,-6
Answer:
-2
Step-by-step explanation:
-4-(-2) = -2
-6-(-4) = -2
Two trains, Train A and Train B, weigh a total of 381 tons. Train A is heavier than Train B.
The difference of their weights is 193 tons. What is the weight of each train?
I need this answer quick!
Answer:
Train A is 287 tons
Train B is 94 tons
Step-by-step explanation:
My method of solving it may have been a bit different from how you were taught. I divided 381 by 2 to give both trains an equal weight of 190.5 tons. I then divided the difference, 193, by 2 to get 96.5 tons. I subtracted the new difference from the weight of Train B and added it to train A. To double check, you can grab a calculator and see that their weights are equal to 381.
A circle fits in a square with sides of 12 inches. What is the approximate area of the shaded region between the square and the circle? (Use 3.14 for Pi and round to the nearest whole number.)
A. 31 in squared
B. 69 in squared
C. 106 in squared
D. 125 in squared
Answer:
A
Step-by-step explanation:
I WILL MARK BRAINLYEST PLZ HELP IM BEING TIMED!!!!!
Triangle 1 is transformed onto triangle 2 in the graph below.
On a coordinate plane, triangle 1 is rotated to form triangle 2.
Which statement about the transformation is true?
The transformation is a reflection because triangle 2 is a flip of triangle 1.
The transformation is a dilation because triangle 2 is a different size than triangle 1.
The transformation is a vertical translation because triangle 1 slid vertically.
The transformation is a rotation because triangle 2 is a quarter-turn of triangle 1.
Answer:
c or d
Step-by-step explanation:
HELP WHAT IS THE RECIPROCAL OF 3 5/6
Answer:
6/23
Step-by-step explanation:
PLLLS helpppp mee this is due now T-T
Answer:
Step-by-step explanation:
Answer:
= 2 and 5
Step-by-step explanation:
( 4 - 7x ) + ( 2x - 2 ) = 0
4 - 7x = 2x - 2 = 0
-7x -2x - 2 + 4 = 0
-5x - 2 = 0
-5 x = 0 or -2 = 0
x = 5 x = 2
teachers surveyed the sixth grade students to determine which elective they wanted to take during their seventh grade year. The options were art, music or drama. 60 students voted for art, 42 students voted for music, and 58 students voted for drama. What percent of students voted to take art as their elective in the seventh grade?
Please show your work on how you got the answer. I'm struggling
Answer:
37.5%
Step-by-step explanation:
Total = 60+42+58 = 160
(60/160)*100 = 37.5%
Unit 8 homework 2 special right triangles
1.How do you know you have a direct variation in the
relationship between two quantities?
Answer:
Say you have y=2x. That is direct variation and will always pass through the origin when graphed. When x is multiplied by a number, the y value will also be changed by that number. If you add a y-intercept and change y=2x to, for example, y=2x+2, the x and the y will no longer be related by a constant ratio.
Step-by-step explanation:
Give me 3 examples of a ratio
Answer:
2:4 like in a basketball game 2/4 like a fraction 2:4 like a competitive thing
Step-by-step explanation:
PLS HELP
PLSSSSSSSSSSS
Answer:
y=-15
.2020202020charactersneeded
The functions g and h are such that g(x)=2x+5 and h(x)=ax+b
the answer is : a=9 and b=-1
Isaiah is preheating his oven before using it to bake. The initial temperature of the oven is 75° and the temperature will increase at a rate of 10° per minute after being turned on. What is the temperature of the oven 17 minutes after being turned on? What is the temperature of the oven tt minutes after being turned on?
Answer:
12750 is the answer... god bless
What is the equation of a line that is perpendicular to a line with a slope of 2 and passes
through the point (-2, 0)?
To find the equation of a perpendicular line, you first need to find the negative reciprocal of the slope given. The slope is -1/3, so the slope of the perpendicular line will be 3
Now we just need to find the y intercept using the point (3, 2) and you can plug the coordinates in and then solve for b. Let's see what that looks like.
y=3x+b
2=3*(3)+b
2=9+b
-7=b So now we know the y-intercept and slope. We just put them together now
y=3x-7
PLEASE HELPP ASAP
PLEASE HELPP ASAP
Answer:
The answer is b
Step-by-step explanation:
hope it helped bye :)
What is Santon’s goal?
Anno one came answer that without numbers
Step-by-step explanation:
Answer:
Although Stanton remained committed to efforts to gain property rights for married women and ending slavery, the women's suffrage movement increasingly became her top priority. Stanton met Susan B
Step-by-step explanation:
5c -4c +с - 3с
Help please
Answer:
cannot factor
Step-by-step explanation:
Because they cannot be factored in any other way, we say that they cannot be factored.
Answer:
-2c
Step-by-step explanation:
5c -4c +с - 3с
-1c+c-3c
c-3c
-2c
7z2−38z+15 Select the factors of this quadratic expression.
Answer:
(7z-3)(z-5)
Step-by-step explanation:
7z^2-38z+15
(7z-3)(z-5)
Answer:
(z - 5)(7z - 3)
Step-by-step explanation:
Given
7z² - 38z + 15
Consider the product of the factors of the coefficient of the z² term and the constant term which sum to give the coefficient of the z- term
product = 7 × 15 = 105 and sum = - 38
The factors are - 35 and - 3
Use these factors to split the z- term
7z² - 35z - 3z + 15 ( factor the first/second and third/fourth terms )
= 7z(z - 5) - 3(z - 5) ← factor out (z - 5) from each term
= (z - 5)(7z - 3) ← in factored form
