Answer:
After 3 years Mariah will have $1,805.40 while her sister Isabel will have $1,889.56.
Step-by-step explanation:
Since Mariah will deposit $ 1,530 in an account that earns 6% simple interest every year, while her sister Isabel will deposit $ 1,500 in an account that earns 8% interest compounded annually, and the deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts, to determine the balances of Mariah's account and Isabel account at the end of the 3 years the following calculations must be performed:
Mariah:
1,530 + ((1,530 x 0.06) x 3) = X
1,530 + (91.8 x 3) = X
1,530 + 275.4 = X
1,805.4 = X
Isabel:
1,500 x (1 + 0.08 / 1) ^ 3x1 = X
1,500 x 1.08 ^ 3 = X
1,500 x 1,259712 = X
1,889.568 = X
Therefore, after 3 years Mariah will have $ 1,805.40 while her sister Isabel will have $ 1,889.56.
A cylindrical candle has a volume of approximately 400cm^3 and is 8 cm tall. What is the radius of the candle?
Answer:
Solution :-We know that
V = πr²h
400 = 22/7 × r² × 8
400 × 7 = 22 × 7r²
2800 = 154r²
2800/154 = r²
18 ≈ r²
4.2 = r
What is a simpler form of (x-6)(4x+3)?
Answer:
4x^2-21x-18
Step-by-step explanation:
What is the slope of the line that passes through the points (-6,8) and (-16,33)
Answer:
-5/2 or -2.5
Step-by-step explanation:
Find the slope using rise over run (y2 - y1) / (x2 - x1)
(y2 - y1) / (x2 - x1)
(33 - 8) / (-16 + 6)
25 / -10
= -5/2
So, the slope is -5/2 or -2.5
Answer:
Solution :-We know that
Slope
[tex] \bf \: \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]
Where
y2 = 33
y1 = 8
x2 = -16
x1 = -6
33 - 8/-16 - 8
25/-24
Sodas cost $1.50 and a cup of coffee costs $1.25 at a football game. Sally
bought 8 drinks total for all of her friends and her total cost was $11.50. How
many of each drink did she buy?
Answer:
the answer 4
Step-by-step explanation:
4 of each because (1.25x4) + (1.50x4) = 11.50
Answer:
Sally bought 6 sodas and 2 cups of coffee.
Step-by-step explanation:
Variable x = number of sodas
Variable y = number of coffees
$1.50x + $1.25y = $11.50
x + y = 8 drinks
$1.50(6) + $1.25(2) = $11.50
$9.00 + $2.50 = $11.50
I simply plugged in numbers that totalled to 8 drinks until I reached $11.50 as the total.
For example:
$1.50(5) + $1.25(3) = $11.50
$7.50 + $3.75 = $11.50
$11.25 = $11.50
This is not correct as they do not equal so this cannot be the answer.
A teacher wants to choose a student at random. The teacher decides to choose the first person to walk through the classroom door at the start of the lesson.
a. Explain why this is not a good method.
2. Suggest a better method.
Answer:
The first person to arrive is not random. The person that mostly arrives first every time is the person who lives closest to the school, or is a teacher's pet.
The odds of the person who lives 20km away from the school being first are way lower than anyone else.
A better method, would be everyone writes their name on a paper, and the teacher picks one at random from a hat.
5+2x = -27/8
How explain
Answer:
x = -4 3/16.
Step-by-step explanation:
First, convert -27/8 to a mixed number. -3 3/8.
So we can take 5 + 2x = -3 3/8 and subtract 5 from both sides (to get rid of the 5 on the left)
The equation turns into this: 2x = -8 3/8.
Now we can divide by 2 on both sides.
The equation becomes x = -4 3/16.
Hope this helps!
Michelle and Natasha each had to repair their new iPhones. The initial cost of each repair is $ 100. Michelle and Natasha each have two discount coupons. Each of them uses both coupons toward the cost of the repair. One coupon is for $25 off the repair cost and the other coupon is for 20% off the repair cost. Michelle and Natasha use their coupons in a different order, as shown below. Michelle uses the 20% off the repair cost coupon first. She then uses the $25 off the repair cost coupon on the remaining balance. Natasha uses the $25 off the repair cost coupon first. She then uses the %20% off the repair cost coupon on the remaining balance.
Answer:Michelle
And 50
Step-by-step explanation:
Problem If 5 wholes are divided into pieces that are each 1/4 of a whole, how many pieces are there?
Choose the correct answer below.
Olga tried to solve an equation step by step.
\begin{aligned} \dfrac14\left(\dfrac13k+9\right)&=6 \\\\ \dfrac13k+9&=24&\green{\text{Step } 1} \\\\ \dfrac13k&=15&\blue{\text{Step } 2} \\\\ k&=5&\purple{\text{Step } 3} \end{aligned}
4
1
(
3
1
k+9)
3
1
k+9
3
1
k
k
=6
=24
=15
=5
Step 1
Step 2
Step 3
Find Olga's mistake.
Well formatted version of question :
Olga tried to solve an equation step by step
1/4(1/3k+9)=6
step 1- 1/3k+9=24
step 2- 1/3k=15
step 3- k=5
find olgas mistake
step 1
step 2
step 3
olga did not make a mistake
Answer:
Step 3
Step-by-step explanation:
Given the equation :
1/4(1/3k+9)=6
Step 1 : Olga multiplied both sides by 4
1/4(1/3k + 9) * 4 = 6* 4
1/3k + 9 = 24
Step 2 : Olga subtracted 9 from sides
1/3k + 9 - 9 = 24 - 9
1/3k = 15
Step 3 : Both sides should be multiplied by 3
1/3k * 3 = 15 * 3
k = 45
This is the step Olga made a mistake. Olga attempted to divide 15/3 = 5 instead of Multiplying 15 * 3 to obtain 45
I need help on this math problem
Answer:
B, C, D
Step-by-step explanation:
7x + 1 + 105 = 180
7x = 74
x = 74/7
4y + 14 + 7y + 1 = 180
11y = 165
y = 15
m<A = 4y + 14 = 4(15) + 14 = 74°
m<B = 7x + 1 = 7(74/7) + 1 = 75°
m<C = 7y + 1 = 7(15) + 1 = 106°
Answer: B, C, D
helppppppppppppppppppp
Answer: No
Step-by-step explanation:
The problem says x is bigger than 5, and smaller than or equal to 9.
Possible values of x can only be 6,7,8, and 9.
So, 12 cannot be the answer.
Expand 5(2x - 1) please helpp
Answer:
10x - 5 is the answer !!!!
Answer:
=10x-5
Step-by-step explanation:
in in such an algebra effects of in the brackets which is 5×2x and 5x1 you'll end up getting 10x-5
∠A and ∠B form linear pair. If m∠A =(6x-19)° and m∠B=(11x-22)°, find m∠B.
Answer: 121°
Step-by-step explanation:
The measure of angle B will be [tex]121^0[/tex] .
What is angle?Angle is formed by two rays lie in the plane that contains the rays.
We have,
[tex]m \angle A =(6x-19)^0[/tex]
Now,
Linear pair angles are those angles whose sum is [tex]180^0[/tex] .
i.e.
[tex]m \angle A + m \angle B=180^0[/tex]
So,
[tex](6x-19)^0 +(11x-22)^0 =180^0[/tex]
Now,
[tex]17x-41=180[/tex]
[tex]17x=221[/tex]
[tex]x=13[/tex]
So,
[tex]m\angle B=(11x-22)^0[/tex]
Putting value of x;
[tex]m\angle B=(11*13-22)^0[/tex]
[tex]m\angle B=(121)^0[/tex]
So, measure of angle B is [tex]121^0[/tex].
Hence, we can say that the measure of angle B will be [tex]121^0[/tex] .
To know more about angle click here
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PLEASE ANSWER QUICKLY, I WILL LOVE YOU FOREVER. AND GIVE YOU THE BRAINLY THINGY
The scatter plot shows the average movie ticket prices since 1995.
write an equation in slope intercept form for the line that is drawn
use your equation to make a conjecture about the average cost of a movie ticket in 2020
Answer:
The average movie ticket prices in 2020 was $ 10.25.
Step-by-step explanation:
If (0 , 4) and ( 8, 6) are two points on a line, the slope of the line is:
m= y2 - y1/ x2 - x1
m= (6 - 4) / (8 - 0)
m= 1 / 4
The y-intercept is $ 4, meaning it is the average movie ticket price in 1995.
Therefore,
Y = mx + b
Y = 1/4 x + b
It is m= 1/4, interpreting the slope we have that for every additional 4 years the average movie ticket price will increase by $ 1.
The year 2020 is 25 years after 1995, then
Y= 1/4 (25) + 4
Y = $ 10.25
The average movie ticket price was $10.25 in 2020.
A triangular prism has a base perimeter of 32 cm and a height of 15 cm what is the lateral surface area of the prism
A. 240 cm2
B. 432 cm2
C. 160 cm2
D. 480 cm2
Answer: c
Step-by-step explanation
please help me answer this i really need help !!
Answer:
A= 314.16m^{2}
Step-by-step explanation:
if its a half a circle then we use the formula to find area of a circle and get half of it.
[tex]A=\pi r^{2}[/tex]
[tex]A=\pi 10^{2}[/tex]
[tex]A= 314.16m^{2}[/tex]
$200 at 9% compounded semiannually for 2 years
Answer:
Your answer is on the picture
Step-by-step explanation:
HeLp! the question is on the picture.
Answer:
tan ∅ = 16/12
Step-by-step explanation:
Once again here are the trigonometric ratios
Sin = Opposite over Hypotenuse
Cos = Adjacent over Hypotenuse
Tan = Opposite over Tangent
We are asked to find tan ∅
Looking at the trigonometric ratios we see that tan = opposite over adjacent
So we find the side length opposite of the indicated angle (∅) which would be 16 then we find the angle adjacent angle ( the side that is not the hypotenuse nor the opposite ) so the adjacent of angle ∅ is 12
so tan ∅ = opposite (16) over adjacent (12)
tan ∅ = 16/12
A man bought an article for Rs 225 and sold it at a gain of 15%. how much was his profit?
Answer:
225 x 0.15 = 33.75 profit
Step-by-step explanation:
Answer:
Profit: Rs 33.75
Step-by-step explanation:
His profit was 15% of Rs 225, which comes to 0.15(Rs 225), or Rs 33.75
Point AAA is at {(-7,5)}(−7,5)left parenthesis, minus, 7, comma, 5, right parenthesis and point CCC is at {(5,-1)}(5,−1)left parenthesis, 5, comma, minus, 1, right parenthesis. Find the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that ABABA, B is 555 times as long as BCBCB, C.
Answer:
(3,0)
Step-by-step explanation:
KHAN
Which of the following statements represents a correct relationship?
a.) 345 > 354
b.) 400 < 40
c.) 4,008 < 4,080
d.) 23,090 = 23,009
Answer:
I think C
so it's kind of a process of elimination you have to see the order of the numbers and what order each number is in so for A you can see that it's 345 is greater than 354 which is inspect cuz 354 is greater than 345 for B that's an obvious answer is is 400 is less than 40 which is obviously wrong because 400 is greater has two zeros and 40 only has one 0 for C it has 4008 is less than 4080which is actually correct if you look at the way that the numbers are written you could see that 80 is greater than 8 D it's obviously not correct because it says 20090 is equal to 23009 which is incorrect because 90 is greater than 9
Find the total surface area of the
following square pyramid:
6 cm
8 cm
SA = [?] cm2
Answer:
Step-by-step explanation:
Find the total surface area of the
following square pyramid:
6 cm
8 cm
SA = [?] cm2
Answer:
Step-by-step explanation:
Answer:
160
If correct I’ll give brainlist
Hi there!
[tex]\large\boxed{-18a^{3}c^{3}}[/tex]
To solve, keep in mind the following property:
xᵃ · xᵇ = xᵃ⁺ᵇ
We are given:
-3a⁷ (6)c⁷a⁻⁴c⁻⁴
Combine like exponent bases using the property above:
-3(6)a⁷⁻⁴c⁷⁻⁴
Simplify:
-18a³c³
An amphitheater has 24 seats in the first row, 28 in the second, 32 in the third, and so on, for 28 rows. How many seats are in the amphitheater?
Answer: 2,184 seats
Step-by-step explanation:
Row Number of seats
1 24
2 28
3 32
4 36
5 40
6 44
7 48
8 52
9 56
10 60
11 64
12 68
13 72
14 76
15 80
16 84
17 88
18 92
19 96
20 100
21 104
22 108
23 112
24 116
25 120
26 124
27 128
28 132
Total 2,184 seats
find the minimum value of the parabola
Answer:
Excuse Me, I believe you forgot to put your question. So I highly recommend to repost your question to get the desired answer(s).
Hace a great day!
Yours Truely, TheAnimeCatUwU
NO LINKS PLEASE help
Answer:
Midpoint for A is (1,5) and for B it is (2.5,4.5)
Step-by-step explanation:
To get the midpoint you add the x coordinates and divide by 2 and then the y coordinates and divide by 2.
X = (3 + -1)/2 y = (8+ 2)/2
=2/2 = 1 10/2=5
What is the average of 87 and 62
Answer:
74.5
Step-by-step explanation:
Answer: The answer is 74.5
Step-by-step explanation:
Hope this helped! :)
Simplify 3 square root of 2 - 3 square root of 18
Answer:
-6 √(2) = -8.48528137424
Step-by-step explanation:
:))
The radius of a circle is 7 cm. Find its area in terms of Pi
Answer:
49(pi)
Step-by-step explanation:
Area of a circle = (pi)r squared
= 7 squared (pi)
= 49(pi)
= 49 x pi
Answer:
49(pi)
Step-by-step explanation: