Answer:
the volume of the basketball when the radius is r
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
on edge took the test
7) Five thousand dollars is invested at an interest rate of 3.5% compounded quarterly.
No money is deposited or withdrawn from the account. Using the formula below, determine,
to the nearest cent, how much this investment will be worth in 18 years. (A = amount,
P = principal, r= interest rate, n = number of times the interest rate compounded annually,
1 = time in years] [Show all work.]
A = P(1 + r/n)^nt
Answer: $9362.36
Step-by-step explanation:
A = P(1 + r/n)^nt
After 18 years, this investment will be worth of $9,379.45.
What is compounded interest?Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
Compound interest is calculated by multiplying the initial principal amount (P) by one plus the annual interest rate (R) raised to the number of compound periods (nt) minus one. That means, CI = P[(1 + R)ⁿˣ – 1] Here,
P = Initial amount
R = Annual rate of interest as a percentage
n = Number of compounding periods in a given time
Given, Five thousand dollars is invested at an interest rate of 3.5% compounded quarterly.
From the above formula of compound interest
Total amount A = P(1 + r/n)^nt
In our case
p = 5000
r = 3.5%
t = 18 years
Thus,
Total amount = 5000( 1 + 3.5%)^18
Total amount = $9,379.45
therefore, this investment will be worth $9,379.45 after 18 years.
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How many solutions exist for the given equation? 3(x – 2) = 22 – x zero one two infinitely many
Answer:
one solution
Step-by-step explanation:
Given
3(x - 2) = 22 - x ← distribute parenthesis on left side
3x - 6 = 22 - x ( add x to both sides )
4x - 6 = 22 ( add 6 to both sides )
4x = 28 ( divide both sides by 4 )
x = 7
An equation can either have a solution, no solution or infinite many solutions
The equation has one solution.
The equation is given as:
[tex]\mathbf{3(x - 2) = 22 - x}[/tex]
Open bracket
[tex]\mathbf{3x - 6 = 22 - x}[/tex]
Collect like terms
[tex]\mathbf{3x + x = 6 + 22}[/tex]
Evaluate like terms
[tex]\mathbf{4x = 28}[/tex]
Divide both sided by 4
[tex]\mathbf{x = 7}[/tex]
The above equation is true for x = 7
This means that: the equation has one solution.
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help me please, its due at night today!!!
Answer:
Step-by-step explanation:
Area of polygon = area of square + area of triangle
Square:
Side = 12 cm
Area of square = side *side
= 12 * 12
= 144 sq.cm
Triangle:
base (b) = 12 cm
Height h = 19 cm
[tex]Area =\frac{1}{2}bh\\\\=\frac{1}{2}*12*19\\[/tex]
= 6 * 19
= 114 sq.cm
Area of polygon = 144 + 114 = 258 square cm
Select all expressions that are equivalent to 16x−12−24x+4. Show or explain your reasoning.
1. 16x - 12(1 + 2x) + 4
2. 40x - 16
3. 4 - 12 + (2x - 3x)
4. -8(x+1)
Answer:
the correct one is 1. 16x - 12(1 + 2x) + 4
Step-by-step explanation:
16x−12−24x+4 is equivalent to 8x-8
1. 16x - 12(1 + 2x) + 4 is equivalent to 8x-8
2. 40x-16 is equivalent to 8(5x−2)
3. 4 - 12 + (2x - 3x) is equivalent to −x−8
4. -8(x+1) is equivalent to −8x−8
The price of a 5-minute phone call is $1.75. What is the price of a 12-minute phone call?
The price of a 12-minute phone call is?
Answer:
$4.20
Step-by-step explanation:
you first do 1.75 divided by 5 which gives you .35
so you do .35 times 12 which gives you 4.2
The price of a 12-minute phone call is $4.2.
We have given that,
The price of a 5-minute phone call is $1.75.
We have to determine, the price of a 12-minute phone call.
What is the price?
A price is the (usually not negative) quantity of payment or compensation given by one party to another in return for goods or services.
We first 1.75 divided by 5 which gives you .35
That is,
[tex]\frac{1.75}{5} =0.35[/tex]
[tex](0.35)( 4)=4.2[/tex]
0 .35 times 12 which gives $4.2.
Therefore the price of a 12-minute phone call is $4.2.
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Find the volume. The diameter is 32 meters.
Answer:
17,148.58
Step-by-step explanation:
[tex] \frac{4}{3} \times \pi \times {r}^{3} \\ = \frac{4}{3} \times 3.14 \times 16 \times 16 \times 16 \\ = 17,148.58[/tex]
A car dealership sold 78 cars in April. The dealership wants to increase the number of cars sold by 30% in
May. How many cars will the dealership need to sell to reach their goal?
Answer:
111 cars
Step-by-step explanation:
30% of 78 is
78×30%=78×0.3=23.4
Cars needed to sell
78+23.4=111.4
Unless we can't have 0.4 of a car, we need to round that number, so 111.4≈111
The number of cars the dealership need to sell in May to reach their goal is 101.4 cars.
Given the following data:
Number of cars sold in April = 78 carsPercentage increase = 30%To find the number of cars the dealership need to sell to reach their goal:
Mathematically, percentage increase is given by the formula:
[tex]Perecent\;increase = \frac{New\;value - Old\;value}{Old\;value} \times 100[/tex]
Substituting the given parameters into the formula, we have;
[tex]30 = \frac{New\;value -78}{78}\times 100\\\\2340=100New\;value -7800\\\\100New\;value = 7800+2340\\\\100New\;value=10140\\\\New\;value=\frac{10140}{100}[/tex]
New value = 101.4 cars
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Lucas built a composite solid by joining 12 identical blocks, with dimensions 4 inches by 5 inches by 7 inches, into three
rows of four as shown
What is the total surface area of the composite solid?
521 square inches
1,042 square inches
1,072 square inches
1,992 square inches
Answer:
the correct answer is b .
Step-by-step explanation:
The function h(x) is defined by the expression x2 - 4x + 3. Use factoring
to determine the zeros of h(x). Show your work and explain how you could
also find the zeros on the graph of h(x) on paper, but ONLY enter the zeros
as your answer on the form.
(this question was from a google form)
Answer:
The zeros are x = 1 and x = 3
In the picture attached, the graph of the function is shown. The zeros are those points where h(x) intersect x-axis.
Step-by-step explanation:
Given the expression:
x² - 4x + 3
Rewrite -4x term:
x² - x - 3x + 3
Take x as common factor in the first terms, and -3 in the last terms:
x(x - 1) - 3(x - 1)
Take (x - 1) as common factor:
h(x) = (x - 1)(x - 3)
Given f(x) = 2x2 − 3 and g(x) = x + 8, identify g(f(4)). Show your work.
Answer:
37
Step-by-step explanation:
[tex]f(4)=2(4)^2-3=\\\\2(16)-3=\\\\32-3=\\\\29\\\\g(29)=29+8=\\\\\boxed{37}[/tex]
Hope this helps!
Answer:
idk
Step-by-step explanation:
There are 45 balloons at a party, 25 blue and 20 green. What is the ratio of
blue balloons to green balloons at the party?
A. 5:3
B. 3:5
c. 5:4
D. 4:5
Answer:
C
Step-by-step explanation:
If there are 45 balloons total, and there are more balloons, you will know that the blue balloons will have a higher ratio. The answer is C. 5:4.
Answer:
5: 4
Step-by-step explanation:
B is the intersection of line AC and line ED. Find the measure of each of the angles.
The measure of angle ABF
The measure of angle ABD
The measure of angle EBC
The measure of angle FBC
The measure of angle DBG
Answer:
m∠ ABF = 130°, m∠ ABD = 50°, m∠ EBC = 70°, m∠ FBC = 50°, m ∠ DBG = 45°
Step-by-step explanation:
Take a look at the picture below;
The picture has the question and possible answers
Answer:
maybe the fourth one....
To the nearest millimeter, a cell phone is 99 mm long and 78 mm wide. What is the ratio of the width to the length?
It asked for width to length, so it is really important to put the width on top and the length on bottom.
46mm
_____
84mm
Reduce the fraction, if you can use a calculator you do not need to show this part.
46/2
____
84/2
I need help!! ASAP please and thank you!!
Answer:
5 x 18 = 5 x 2 x 9
5 x 18 = 90
Step-by-step explanation:
For the first equation, notice that 18 is broken into 9 and an unknown.
This can be written as:
18 ÷ 9 = ?
Well, 18 divided by 9 equals 2.
18 ÷ 9 = 2
We can use this to answer the second equation.
Instead of trying to multiply 5 and 18, multiply 5 and 2 first.
5 x 18 = 5 x 2 x 9
5 x 18 = 10 x 9
Now, just multiply 10 and 9.
5 x 18 = 10 x 9
5 x 18 = 90
Therefore, the product of 5 and 18 is 80.
Choose the single logarithmic expression
that is equivalent to the one shown
log 2 + log 4 - log 7
Answer:
The answer is A. log(8/7)
Step-by-step explanation:
help me out pleaseeeee
Answer:
c) Quadratic Formula
Mr. Riojas is building his children a sandbox that is shaped like a triangular prism. He uses 7-foot-long wooden beams for each 'side of the base. He measures the height of the triangular base to be 6.1 feet. If he makes the sandbox 1 foot tall, how much sand will he need to fill it?
Answer:
21.35 [tex]ft^{3}[/tex]
Step-by-step explanation:
It is given that the box is a triangular prism.
Side of Base of prism = 7 ft
Height of Base of prism = 6.1 ft
Area of a triangle is given as:
[tex]B = \dfrac{1}{2} \times \text {Base} \times \text{Height}[/tex]
[tex]\Rightarrow \dfrac{1}{2} \times 7 \times 6.1\\\Rightarrow 21.35\ ft^{2}[/tex]
Volume of a prism is:
[tex]V = B \times h[/tex]
B is the area of base of prism
h is the height of prism
Here, h = 1 foot
So, V = 21.35 [tex]\times[/tex] 1
Volume of prism is = 21.35 [tex]ft^{3}[/tex]
Sand required to fill the triangular prism shape box is 21.35 [tex]ft^{3}[/tex].
30 POINTS AND BRAINLIEST YK U WANT IT! PLZ ANSWER LOL!
Answer:
What needs to be answered? There's no question.
Step-by-step explanation:
A bride is going to choose 4 bridesmaids from a group of 10. In how many ways can she choose 4 bridesmaids?
Answer:
210
Step-by-step explanation:
This is the problem of combination.
Number of ways of choosing x thing out n different thing is given by
[tex]{n \choose x} = n!/x!(n-x)![/tex]
___________________________________________
The number of bridesmaids = 10
number of bridesmaids, bride can choose = 4
Thus, Number of ways of choosing 4 bridesmaids thing out 10 bridesmaids is given by
[tex]{10 \choose 4} = 10!/4!(10-4)! = 10!/4!6!\\=> 10*9*8*7*6!/4*3*2*1 *6! = 5*3*2*7 = 210[/tex]
Thus, in 210 ways can she choose 4 bridesmaids.
Answer: 210
Step-by-step explanation:
-3(4x+5) please help
What is the equation of the circle in general form
Answer:
(x - 3)^2 + (y - 5)^2 = (√89)^2
Step-by-step explanation:
Well if you estimate, you can see that the circle touches one point at (-5, 0) and the center is at about (3, 5).
The standard equation for the circle is (x - h)^2 + (y - k)^2 = r^2 where (h, k) is the center.
So, you can start by plugging in the center. (x - 3)^2 + (y - 5)^2 = r^2
Now, all you have to do is find the radius.
You can do this by connecting the point (-5, 0) to the center.
You will have to use the distance formula:
√(-5 - 3)^2 + (0 - 5)^2 = √64 + 25 = √89
The final equation will be (x - 3)^2 + (y - 5)^2 = (√89)^2
This is the general idea, but my answer may not be correct, so check my steps.
can anyone help me on this cant get it
Answer:
Yeah it's D
Step-by-step explanation:
Simplify assume that no denominator is equal to zero (a^5b^3)(a^3b^5)
Answer:
[tex]a^{8} b^{8}[/tex]
Step-by-step explanation:
First, remember that [tex]x^{a} *x^{b} =x^{a+b}[/tex]
[tex]a^{5+3} b^{3+5}[/tex]
Simplify (5+3 and 3+5)
[tex]a^{8} b^{8}[/tex]
Hope this helped! :]
Answer:
Step-by-step explanation:
hello :
(a^5b^3)(a^3b^5)=a^8b^8=(ab)^8
Find the area to the rhombus
Answer:
120 cm^2
Step-by-step explanation:
area of a rhombus is pq/2
that means that the product of the two diagonals divided by 2 is the area of the rhombus.
so that means one diagonal is 24 and one is 10, (we are given what half of both diagonals are so just multiply by 2)
now put it in the formula
24x10 = 240
now divide by 2
240/2 = 120
check again with google if u disagree
Marco wants to put a decorative boarder around the edge of his circular herb garden. He finds that the distance from the garden’s edge to its center is 42 inches. The store only sells the material in 1 foot increments. How many FEET of material should Marco buy to completely surround the garden?
Answer:
4 feet or 3.5 feet
Step-by-step explanation:
if 12 inches equals a foot then you divide 42 by 12
which gives you 3.5
Find the volume of a right circular cone that has a height of 18.9 in and a base with a
circumference of 15 in. Round your answer to the nearest tenth of a cubic inch
Answer:
The volume of the cone is:
112.6 cubic inches.Step-by-step explanation:
You should know that the volume of a straight circular cone is equal to:
Cone volume = (1/3) PI * r ^ 2 * hWhere:
r = radius.
h = height.
Since the radius and diameter are not provided in the exercise but the circumference, the circumference formula should be used and the diameter must be cleared:
Circumference = PI * Diameter.When clearing you get:
Diameter = circumference / PIBy replacing the data you get:
Diameter = 15 inches / PI Diameter = 4.77 inches.Since the radius is equal to half the diameter, then the diameter is equal to 2,385 inches, now having the value of radius we proceed to replace in the volume formula:
Cone volume = (1/3) PI * 2.385 in^2 * 18.9 in Cone volume = 112.581541 in^3 Cone volume = 112.6 in^3Answer:
112.8 in
Step-by-step explanation:
6x + 7 = 67
13
6
10
12
Answer:
x = 10
Step-by-step explanation:
6x + 7 = 67
Subtract 7 from each side
6x + 7-7 = 67-7
6x = 60
Divide each side by 6
6x/6 = 60/6
x = 10
Answer:
10
Step-by-step explanation:
1) 6x = 67 - 7
2) 6x = 60
3) x = 60/6
4) x = 10
Please mark me as brainliest...it would mean a lot
Show an equilateral triangle place on the coordinate system. Label the coordinates of the vertices using one variable? Plz help need soon
Answer:
the answer is (1,5,6,35) or (1.5,-2,33
Step-by-step explanation:
A floor plan (shown above) has a scale where 12 inch corresponds to 6 feet of the actual home. What is the actual area of Alexis’ room?
A. 4 square feet
B. 16 square feet
C. 64 square feet
D. 144 square feet
Answer:
D. 114ft2
Step-by-step explanation:
So i checked the question online and i believe the part "a scale where 12 inch corresponds to 6 feet" should be "a scale where 1/2 inch corresponds to 6 feet"
In that case, a scale where 1/2 inch corresponds to 6 feet means
scale = 1inch to 12 feet
On the floor plan, Alexis' room is 1in by 1in
-> in reality, alexis' room is 12ft by 12ft
-> a scale where 1/2 inch corresponds to 6 feet