Answer:
~ 7 years
Step-by-step explanation:
2 = (1 + .1/4)^(4t)
2 = (1.025)^(4t)
Take the log of both sides
log2 = 4t * log1.025
divide both sides by log1.025
log2/log1.025 = 4t
28.07103452593863 = 4t
Divide both sides by 4
7.017758631484657 = t
~ 7 years
537 miles in 30 hours
If g(x)=x2 - 5 and 1(x)=7x-11, then what is the value of h(g(3)) ?
Answer:
The value of h(g(3)) is 17.
Step-by-step explanation:
We are given these following functions:
[tex]g(x) = x^2 - 5[/tex]
[tex]h(x) = 7x - 11[/tex]
h(g(3)) ?
[tex]h(g(x)) = h(x^2-5) = 7(x^2-5) - 11 = 7x^2 - 35 - 11 = 7x^2 - 46[/tex]
At x = 3
[tex]h(g(3)) = 7(3)^2 - 46 = 63 - 46 = 17[/tex].
The value of h(g(3)) is 17.
What is the base of the expression (Eleven to the power of 12)? 3 11 12 21
Answer: 11
Step-by-step explanation:
when the question asks you what is the BASE of the EXPRESSION it means that the base is always the BIGGER number which is 11 and the power which is ALWAYS ON THE TOP RIGHT which is 12
hope that helps
34/4 as mixed fraction?
Answer:
8/24
Step-by-step explanation:
Answer:
Mixed fraction: 8 1/2
Step-by-step explanation:
34/4
Divide 34/4 = 8.5
.5 = 1/2
Mixed number form: 8 1/2
What is 5x + 7 > 37 I am really stuck
Answer:
x > 6
Step-by-step explanation:
Problem: 5x + 7 > 37
Subtract 7 from both sides: 5x > 30
Divide both sides by 5: x > 6
Answer: x > 6
4x^2-400=0
square roots and solving quadratics
Answer:
x = ±10
Step-by-step explanation:
4x² - 400 = 0
Add 400 to both sides
4x² = 400
Divide both sides by 4
x² = 100
Take the square root of both sides
x = ±10
find the volume of the rectangular prism with the length 9 cm, width 6 cm, and height 8cm
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
We're provided - Length , width & height of the rectangular prism are 9 cm , 6 cm & 8 cm respectively & we're asked to find out the volume of the rectangular prism. Remember : The formula to find the volume of the rectangular prism is l × w × h where l is length , w is width & h is height of the rectangular prism.[tex] \large{ \tt{❁ \: SOLUTION}} : [/tex]
[tex] \boxed{ \tt{☂ \: VOLUME \: OF \: RECTANGULAR \: PRISM = l \times b \times h}}[/tex]
[tex] \large{ \tt{⟶ \: 9 \: cm \: \times \: 6 \: cm \: \times \: 8 \: cm}}[/tex]
[tex] \large{ \boxed{ \tt{⟶ \: 432 \: {cm}^{3} }}}[/tex]
[tex] \large{ \boxed{ \boxed{ \tt{↝OUR \: FINAL \: ANSWER : \boxed{ \tt{432 \: {cm}^{3}}}}}}} [/tex]
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Which line is perpendicular to a line that has a slope of 1 half
Answer:
-2
Step-by-step explanation:
1/2 slope
flip fraction 2/1
change sign -2/1 or -2
For brainlest pls ..
Answer:
A = 39 ft²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 6, b₁ = 9, b₂ = 4 , then
A = [tex]\frac{1}{2}[/tex] × 6 × (9 + 4) = 3 × 13 = 39 ft²
Calculator
What is M
Put your answer in the box
°
Answer:
2
Step-by-step explanation:
9m + 25m + 22 = 90
34m = 90 - 22
34m = 68
m = 68 / 34
m = 2
Answer:
m = 2
Step-by-step explanation:
GLI forms a 90 degree angle
Set your formula up as
90 = 9m + 25m + 22
90 - 22 = 34m
68 = 34m
68/34 = m
2 = m
i need help, this is for a final
Step-by-step explanation:
Since the two triangles are similar
Then the ratio of sides are equal
Then MK:ML =JH:JI
Sub in this and you will get x =64.1
please i need help!!!!!!!
m∠NPQ=2×m∠NRQ
or m∠NRQ=1/2×m∠NPQ
=1/2×90
= 45
m∠NRQ=45
-----------------------hope it helps...have a great day!!solve the following equation algebraically please
Answer:
b. x = ±2
Step-by-step explanation:
3x² = 12
Divide both sides by 3
x² = 4
Taske the square root of both sides
x = ±2
Solve lxl + 7 < 4.
{x l x < -11 or x > -3)
{x 1-3
9514 1404 393
Answer:
no solution
Step-by-step explanation:
Subtracting 7 from both sides gives you ...
|x| < -3
The absolute value cannot be negative. There is no solution.
What is an equation of the line that passes through the points (-2, 3) and (6, -1)?
Answer:
y = (-1/2)×X + 2
Step-by-step explanation:
the steps are in the pic above.
Rubber balls are packaged in a box with dimensions 8.5 cm, 5 cm, 5 cm.
Each ball has a diameter of 3 cm. If there are a dozen balls in the box, how
much space in the box is not occupied by the rubber balls? Round your
answer to the nearest tenth.
Answer:
42.9 cm^3
Step-by-step explanation:
Volume of the box= (base x width x height) = 8.5 x 5 x 5 = 212.5 cm^3
Radius of a ball = 1.5 cm
Volume of a ball = 4/3 * radius^3 * pi = 4/3 x 1.5^3 x pi = 14,137167 cm^3
Volume of the balls = 14,137167 x 12 = 169,646003 cm^3
Final answer = 212.5 - 169,646003 = 42.9 cm^3
An angle in standard position measures
radians.
8
In which quadrant does the terminal side of this angle lie?
Answer:
The angle is in the third quadrant
45 is what percent of 82
what percent of 5 is 26
Round each answer to the nearest TENTH!
HELP FINALS TODAY :(
Answer:
45 is 54.9 percent of 82.
26 is 520% of 5.
Answer:
45 is 55% of 82 and 520% of 5 is 26.
Step-by-step explanation:
First you want to set up a proportion, using the is over of formula (Is/of= %/100). In the first problem, 45 will be the is, 82 will be the of, for % will be the x, and 100 will go on the bottom (it will look something like this: 45/82=x/100). When you solve it, you get around 55 (45x100/82.) Same thing for the next equation, use the same formula (is/of=%/100) which turns into: 5/26= x/100 and you get 520%.
solve the following equation algebraically please
Answer: A
Step-by-step explanation:
I NEED THIS QUICK!!
Tanisha paid $35 for 7 movie tickets.
How much would 15 movie tickets cost?
$55
$60
$65
$75
Answer:
$75
Step-by-step explanation:
$35 for 7 tickets (5 * 7), so 15 movie tickets (15 * 7) = 75! Simple math!
Angles D and G are complementary. What statement must always be true about angles D and G?
Answer:
They will never intersect. I'm pretty sure that is right
Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.
You find that the going rate for a home mortgage with a term of 30 years is 7% APR. The lending agency says that based on your income, your monthly payment can be at most $770. How much can you borrow? (Round your answer to the nearest cent.)
Answer:
115736.83
Step-by-step explanation:
Effective rate:
.07/12= .005833333333
[tex]770(\frac{1-(1+.005833333)^{-30*12}}{.005833333333})=115736.83[/tex]
Step-by-step explanation:
Answer:
115736.83
Step-by-step explanation:
Effective rate:
.07/12= .005833333333
770(\frac{1-(1+.005833333)^{-30*12}}{.005833333333})=115736.83770(
.005833333333
1−(1+.005833333)
−30∗12
)=115736.83
A printer has a contract to print 100,000 posters for a political candidate. He can run the posters by using any number of plates from 1 to 30 on his press. If he uses x metal plates, they will produce x copies of the poster with each impression of the press. The metal plates cost $20.00 to prepare, and it costs $125.00 per hour to run the press. If the press can make 1000 impressions per hour, how many metal plates should the printer make to minimize costs
Answer:
25
Step-by-step explanation:
From the given information;
Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.
= 1000x
Thus, the required number of hours it will take can be computed as:
[tex]\implies \dfrac{100000}{1000x} \\ \\ =\dfrac{100}{x}[/tex]
cost per hour = 125
If each plate costs $20 to make, then the total number of plate will equal to 40x
∴
The total cost can be computed as:
[tex]C(x) = (\dfrac{100}{x}) \times 125 + 20 x --- (1)[/tex]
[tex]C'(x) = (-\dfrac{12500}{x^2}) + 20 --- (2)[/tex]
At C'(x) = 0
[tex]\dfrac{12500}{x^2} = 20[/tex]
[tex]\dfrac{12500}{20} = x^2[/tex]
[tex]x^2= 625[/tex]
[tex]x = \sqrt{625}[/tex]
x = 25
[tex]C'' (x) = -12500 \times \dfrac{-2}{x^3} +0[/tex]
[tex]C'' (x) = \dfrac{25000}{x^3}[/tex]
where; x = 25
[tex]C'' (x) = \dfrac{25000}{25^3}[/tex]
C''(x) = 1.6
Thus, at x = 25, C'' > 0
As such, to minimize the cost, the printer needs to make 25 metal plates.
Value-Mart had 2,371 customers last week. Each customer donated $2 to the food bank. How much money did Value-Mart raise for the food bank? *
9514 1404 393
Answer:
$4,742
Step-by-step explanation:
The total of donations is the product of the number of donations and the amount of each.
(2371 customers) × ($2/customer) = $(2371×2) = $4742
Value-mart raised $4,742 for the food bank last week.
_____
You could find the total donated by adding the 2371 donations. Multiplication was invented to make repeated addition easier. When the sum consists of 2371 instances of $2, we can find the total by multiplying $2 × 2371.
can you guys help me measure x
Step-by-step explanation:
everything can be found in the picture
Answer:
x = 102
Step-by-step explanation:
The angles form a straight line
Angles that form a straight line add up to equal 180
Hence, x + 78 = 180
Subtract both sides by 78
180 - 78 = 102
78 - 78 cancels out
Were left with x = 102
A) Abdul invests 400$ at 6.05% per year simple interest, calculate how much interest Abdul receives
B) Samia receives 400$ for 2 years at 6% per year compound interest, give your answer in 2 decimal places
Answer:
$24.20
amount invested = $356
Interest = $44
Step-by-step explanation:
Samia receives a total amount of 400$ for 2 years at 6% per year compound interest, give your answer in 2 decimal places
Simples interest = amount invested x time x interest rate
400 x 0.065 x 1 = $24.20
b. interest = amount received - amount invested
Amount invested = amount received / (1 + r)^n
r = interest rate
n = number of years
400 / (1.06)^2 = 356
Interest = 400 - 356 = $44
Find Q
A. 40
B. 80
C. 130
D. 260
Answer:
The answer is C!!!!!!!!
Evaluate given function. Pleas helpp
Answer:
[tex]f(9) =-80[/tex]
Step-by-step explanation:
Given
The attached functions
Required
Find f(9)
We have:
[tex]f(x) =-x^2 - 2x + 19[/tex]
So:
[tex]f(9) =-9^2 - 2*9 + 19[/tex]
[tex]f(9) =-81 - 18 + 19[/tex]
[tex]f(9) =-80[/tex]
35_56×34
help pls
I need it
Answer:
_1869
Step-by-step explanation:
step by step
35-56 × 34
Multiply 56 and 34 to get 1904.
Subtract 1904 from 35 to get -1869.
= -1869
I
Answer:
1904 IS THE ANSWER YOU CAN CHECK THIS EQUATION IN YOUR MOBILE'S CALCATOR
The man brought three buses for 9694820. One bus cost Rs352750
another us cost Rs 3029870. Find the cost of third bus.
Answer:
Cost of 3 buses = 9694820
cost of 1 bus=352750
cost of another bus=3029870
cost of the third bus= 9694820-(352750+3029870)=6312200