Answer:
472.50 ft^3
Step-by-step explanation:
Volume of a prism = base area x height
base area = 1/2 x base x height
1/2 x 9 x 7 = 31.5
31.5 x 15 = 472.50 ft^3
Answer:
472.50 ft^3
Step-by-step explanation:
The volume of a cylinder is 768 N in³. Find the radius of the cylinder (in inches) if the height is 3 in
16. Ajit borrowed 2,00.000 from a credit card company at 20% p.a. compounded quarterly.
Find the compound interest and the amount after one year.
Given:
Principal value = 2,00,000
Rate of interest = 20% p.a. compounded quarterly.
To find:
The compound interest and the amount after one year.
Solution:
Formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.
The interest is compounded quarterly. So, the value of n is 4.
Putting [tex]P=200000,\ r=0.2,\ n=4,\ t=1[/tex] in the above formula.
[tex]A=200000\left(1+\dfrac{0.2}{4}\right)^{4(1)}[/tex]
[tex]A=200000\left(1+0.05\right)^{4}[/tex]
[tex]A=200000\left(1.05\right)^{4}[/tex]
[tex]A=200000(1.21550625)[/tex]
[tex]A=243101.25[/tex]
Therefore, the amount after one year is 2,43,101.25.
We know that the compound interest is the difference between amount and principal value. So,
[tex]C.I.=A-P[/tex]
[tex]C.I.=2,43,101.25-2,00,000[/tex]
[tex]C.I.=43,101.25[/tex]
Therefore, the amount is 2,43,101.25 and the compound interest is 43,101.25.
Which point best represents V26 on the number line below?
Answer:
Th answer is C u got it right
Step-by-step explanation:
can someone please help me with this retake question?? i don't know what i did wrong and i really need help
x = ___ units
x = 24
Step-by-step explanation:
First, find the length RT. Note that we can use the definition of sine 60:
sin 60° = (12√3)/RT
Solving for RT,
RT = (12√3)/sin60° , sin 60 = (√3)/2
= 24
Since ∆QRT is a 45°-90°-45° triangle, that means that
x = RT = 24
what's the answer !!
[tex] \sqrt{15 \times 15} [/tex]
Answer:
[tex] \sqrt{15 \times 15} [/tex]
:[tex] \sqrt{15²} [/tex]=±15 is a right answer
umm... lemme tryy
[tex]\sqrt{15 \times 15} = \sqrt{152} = \sqrt{15} [/tex]
I hope my answer is correct HUHUHU fingers crossed
Gabe purchased a razor for $9.99, a refill pack of razor blades forthe
regular price of $12.99, shaving cream for $2.99, and lotion for$5.55. He
had a $4.00 coupon for the razor, a $0.75 coupon for the shaving cream,
and a $2.00 manufacturer's rebate form for the refill. Determine the final
price.
A. $ 27.47
B. $ 27.44
C. $ 24,47
D. $ 24.77
Answer:
24.77
Step-by-step explanation:
The final without coupons is 31.52, but because you use 4.75 in coupons and 2.00 in manufacturer's rebate, it drops down to 24.77.
Hope this helps!
Find the surface area of the triangular prism. The base of the
prism is an isosceles triangle.
48 cm
37 cm
35 cm
24 cm
Answer:
I think the surface it is 24 cm
The cost of Spectrum Internet is $60 per month plus a one time $35 installation fee. How much would it cost to have internet for a year including installation
Answer:
$755
Step-by-step explanation:
You can use the formula c = 60m + 35 for this. c is the cost and m is the number of months. Since a year is 12 months, 60m = 60*12 = 720. Then add the one time fee of $35. 720 + 35 = 755.
What is the vertex of f(x)=x2−12x+25 ?
Answer:
(6,-11)
Step-by-step explanation:
Consider a triangle ABC like the one below. Suppose that a = 47, b = 59, and A = 37" (The figure is not drawn to scale.) Solve the triangle,
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
If no such triangle exists, enter "No solution." If there is more than one solution, use the button labeled "or",
Answer:
B = 49.1°
C = 93.9°
c = 77.9
Step-by-step explanation:
Given:
a = 47, b = 59, and A = 37°
Required:
B, C, and c
Solution:
✔️To find B, apply the law of sines:
[tex] \frac{sin(A)}{a} = \frac{sin(B)}{b} [/tex]
Plug in the values
[tex] \frac{sin(37)}{47} = \frac{sin(B)}{59} [/tex]
Cross multiply
[tex] 47*sin(B) = sin(37)*59 [/tex]
Divide both sides by 47
[tex] \frac{47*sin(B)}{47} = \frac{sin(37)*59}{47} [/tex]
[tex] sin(B) = 0.7555 [/tex]
[tex] B = sin^{-1}(0.7555) [/tex]
[tex] B = sin^{-1}(0.7555) [/tex]
B = 49.0690779° ≈ 49.1° (nearest tenth)
✔️C = 180° - (A + B) (sum of triangle)
C = 180° - (37° + 49.1°)
C = 93.9°
✔️To find c, apply the law of sines:
[tex] \frac{sin(B)}{b} = \frac{sin(C)}{c} [/tex]
Plug in the values
[tex] \frac{sin(49.1)}{59} = \frac{sin(93.9)}{c} [/tex]
Cross multiply
[tex] c*sin(49.1) = sin(93.9)*59 [/tex]
Divide both sides by sin(49.1)
[tex] c = \frac{sin(93.9)*59}{sin(49.1)} [/tex]
c = 77.8766982
c ≈ 77.9 (nearest tenth)
1. Find the diameter of the circle.
9 in.
a sandwich shop sells cheese how can a chef cut a square pyramid shaped piece of cheese to make slices that are sqaures
Answer:Cut parallel to the base. The base of a pyramid is a square.
Step-by-step explanation:
Can someone plz help me with this one problem plz I’m trying to get to a 70
Answer:
10 2/4
Step-by-step explanation:
Answer:
look at the picture i sent
Someone help me please
12. What assumption might you be tempted to make about the graphs of y = x, y = x3 and y = x5 based on the values you found in the 3 tables above?
The graph and assumption of the functions y = x, y = x³ and y = x⁵ are given below.
What is graph?A graph is a diagram that depicts the relationship between two variables, usually measured along opposite axes in a pair, is used.
The given functions are,
y = x, y = x³ and y = x⁵
To make any assumption, plot the graph of each function.
The graph of y = x is a straight line, For the increasing values of x the value of y increases.
At x = 0, the value of y is also 0.
The graph of cubic function y = x³ shown below.
At x = 0, the value of y is also 0.
At x = 1 and -1, the values of y is also 1 and -1, but when value of x increases the value of y rapidly increases.
The graph of function y = x⁵, is increases rapidly.
At x = 0, the value of y is also 0.
At x = 1 and -1, the values of y is also 1 and -1,
When value of x is greater than 1 it quickly increases,
The graphs of the functions y = x, y = x³ and y = x⁵ are shown below.
To know more about Graph on:
https://brainly.com/question/17267403
#SPJ1
Find the 50th term of 15, 9, 3, -3,...
Answer:-32 I THINK IM NOT 100 PERCENT POSITIVE
Step-by-step explanation:
The cost to hire movers is $200 plus $50 each for each hour they work. If the cost were to be modeled with a linear equation, what would be the equation?
Answer:
C= 200 + 50h
Step-by-step explanation:
Let us represent
Cost to hire movers = C
Number of hour = h
We are told in the question that:
The cost to hire movers is $200 plus $50 each for each hour they work.
Hence ,our linear equation =
C = $200 + $50 × h
C = 200 + 50h
Jello someone help is this correct answer
No links or files
Correct answer please
Answer:
c is the right answer
Step-by-step explanation:
Kelsey decided to bake blackberry pies to sell at the county fair. She had $100 in her savings account. She spent $75 of her savings buying all the ingredients. At the fair, she sold 15 pies and charged $9 per pie. She took the money she earned from the fair and added it to her savings account. How much money is in Kelsey's savings account now?
Answer:
$160
Step-by-step explanation:
$100-$75=$25
$9*15=$135
$25+$135=$160
Hope this helps
Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete. What is the equation that can be used to find the value of y, the total time that Vlad spent on his homework, and what are the constraints on the values of x and y?
y=2x+20; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.
y=2x+20; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.
y=20x+2; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.
y=20x +2; x is any real number greater than or equal to 0, and y is any real number greater than or equa
Answer:
10, 2x=20
10 the answer is ten
6. John is six years older than his sister Ella. Three times Ella’s age less
two times John’s age is 13. Define appropriate variable(s) and write equation(s) to represent the situation. Solve to find John and Ella’s ages. Show all work and write a
conclusion.
Answer:
John is 31
Ella is 25
Step-by-step explanation:
Let sister's age be x, then John's age is (x + 6). So from sentence 2,
(3x) - 2(x + 6) = 13
3x - 2x - 12 = 13
x = 13 + 12 = 25
and x + 6 = 31
Which equation has two real solutions?
JOeseph uses a sports drink mix. The mix is 25% orange juice and 65% cranberry juice and 10% Sprite. His bottle holds 8 cups of drink. How much cranberry juice does she need to fill the bottle?
Answer:
Cranberry juice needed to fill the bottle = 5.2 cups
Step-by-step explanation:
sports drink mix:
Orange juice = 25%
Cranberry juice = 65%
Sprite = 10%
His bottle holds 8 cups of drink.
How much cranberry juice does she need to fill the bottle?
Cranberry juice needed to fill the bottle = 65% of 8 cups
= 65/100 × 8
= 0.65 × 8
= 5.2 cups
Cranberry juice needed to fill the bottle = 5.2 cups
Orange juice needed to fill the bottle = 25% of 8 cups
= 25/100 × 8
= 0.25 × 8
= 2 cups
Orange juice needed to fill the bottle = 2 cups
Sprite needed to fill the bottle = 10% of 8 cups
= 10/100 × 8
= 0.1 × 8
= 0.8 cups
Sprite needed to fill the bottle = 0.8 cups
help plz
What value of x would make 5 x equals 625 true? Enter the answer in the box.
Answer:
x = 125
Step-by-step explanation:
We are given the situation that 5x = 625 and are asked to find the number that fits the variable "x" to make the equation true.
To solve, we need to isolate x, therefore, divide 5 from both sides :
[tex]\frac{5x}{5} = \frac{625}{5}[/tex]
x = 125
Answer:
125
Step-by-step explanation:
Where would the 13x go?
A. In the area model
B. At the bottom of the
x-factor
C. At the top of the x-factor
C. at the top of the x-factor
TRUE or FALSE: Solon created the first true democracy
Answer:
FALSE
Step-by-step explanation:
Would it be A, B, Or C?
Answer:
It would be D.
Step-by-step explanation:
After graphing, option D best correlates to the red triangles (patient B).
Fill in the blanks.
3 + (2 + 5) + (3 + 2) +_
3 + _ = 9 + 3
Answer:
3 + (2 + 5) =(3 + 2) +5_
3 + 9_ = 9 + 3
According to a weather report, there is a 63% chance it will rain fomorrow. What is the probability that it will
not rain tomorrow
The probability that it will not rain tomorrow is
(Type a decimal answer.)
Answer:
0,37
Step-by-step explanation:
Lucia is helping her grandmother make a quilt. They have 4 yards of fabric, which is equal to 144 inches. They need an additional 1 1/2 yards of fabric to finish the trim.
Answer:
They need an additional 54 inches of fabric
Step-by-step explanation:
This can be solved by using the unitary method.
Unitary method is that we find the measure of 1 unit and then mulitply it with the required number to get the actual measurement.
4 yards of fabric is equal to 144 inches
1 yard of fabric is equal to 144 inches/4= 36 inches
They need an additional 1 1/2 yards of fabric
So multiplying 1 1/2*36= 3/2*36= 3*36/2= 108/2= 54 inches
They need an additional 54 inches of fabric