Answer:
13 years
18 years
Step-by-step explanation:
Let the age of the two brothers be x and y years.
According to the first condition:
x + y = 31.....(1)
According to the first condition:
x - y = 5.....(2)
Adding equations (1) & (2)
x + y = 31
x - y = 5
_______
2x = 36
x =36/2
x = 18 years
Plug x = 18 in equation (1)
18 + y = 31
y = 31 - 18
y = 13 years
Verification:
13 + 18 = 31
18 - 13 = 5
What is 30,000 expressed in scientific notation?
A) 3 x 104
B) 3 x 10002
C) 3 x 103
D) 1 x 103
Answer:
B
Step-by-step explanation:
Hope this helps : )
Find the lateral surface area of a triangular prism with height of 6 inches and right triangles bases with legs 9 inches and 12 inches
Given:
Height of a triangular prism = 6 inches
Legs of right triangular base are 9 inches and 12 inches.
To find:
The lateral surface area of a triangular prism.
Solution:
According to the Pythagoras theorem:
[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]
Using Pythagoras theorem, we get
[tex]Hypotenuse^2=(9)^2+(12)^2[/tex]
[tex]Hypotenuse^2=81+144[/tex]
[tex]Hypotenuse^2=225[/tex]
Taking square root on both sides, we get
[tex]Hypotenuse=\sqrt{225}[/tex]
[tex]Hypotenuse=15[/tex]
Now, the lateral surface area of a triangular prism.
[tex]A=Ph[/tex]
Where, P is the perimeter of the base and h is the height of the prism.
[tex]A=(9+12+15)\times 6[/tex]
[tex]A=(36)\times 6[/tex]
[tex]A=216[/tex]
Therefore, the lateral surface area of a triangular prism is 216 square inches.
anyone have the answer for this?
Answer: 20/27x-20
Step-by-step explanation:
Suppose you deposit $1,500 in a savings account that pays interest at an annual rate of 5%. If no money is added or withdrawn from the account, answer the following questions.
a. How much will be in the account after 4 years?
b. How much will be in the account after 16 years?
c. How many years will it take for the account to contain $2,000?
d. How many years will it take for the account to contain $2,500?
Answer:
The solution is given below.
Step-by-step explanation:
Given that
Deposited amount = $1,500
Rate of interest = 5%
We need to find out the following things
a. The account after 4 years i.e. future value
As we know that
Future value = Present value × (1 + rate)^time period
Future value = $1,500 × (1 + 0.05)^4
Future value = $1,500 × (1.05)^4
Future value = $1,823.26
b. The account after 16 years i.e. future value
As we know that
Future value = Present value × (1 + rate)^time period
Future value = $1,500 × (1 + 0.05)^16
Future value = $1,500 × (1.05)^16
Future value = $3,274.312
c. The number of years that contain the amount of $2,000
Here
PV = $1,500
FV = $2,000
PMT = $0
RATE = 5%
The following formula should be applied
= NPER(RATE;PMT;-PV;FV;TYPE)
After applying the above formula, the time period is 4.94 years
d. The number of years that contain the amount of $2,500
Here
PV = $1,500
FV = $2,000
PMT = $0
RATE = 5%
The following formula should be applied
= NPER(RATE;PMT;-PV;FV;TYPE)
After applying the above formula, the time period is 8.77 years
Find the product: 9|-5|
Answer:
45
Step-by-step explanation:
The absolute value of negative 5 is 5 because it is five units away from zero, and then 9x5=45.
Determine the area of the regular polygon with apothem of 14
Answer:
its 15 thats easy
Step-by-step explanation:
Write the quadratic function in vertex form: f(x) = 8x2 + 2x - 5
Answer:
[tex]\left(-\frac{1}{8},\:-\frac{41}{8}\right)[/tex]
Step-by-step explanation:
If you have any questions feel free to ask in the comments.
PLEASE HELP QUICKLY!!! A student's parents offer him one of two options to receive scholarship money for college.
Option A: Deposit $40,000.00 into his savings account and then add an additional $250.00 each day for 30 days
or
Option B: Deposit $1.00 into his savings account and then double that amount each day for only 16 days
When rounded to the nearest cent, how much money is deposited into his savings account on the last day (day 30) for Option A, and how much is deposited into his savings account on the last day (day 16) for Option B? If the student keeps only what is deposited on the last day, which option should he choose? (7 points)
Option A Versus Option B
Option A Option B
Day Amount Deposited Day Amount Deposited
0 $40,000.00 0 $1.00
1 $40,250.00 1 $2.00
2 $40,500.00 2 $4.00
A = $47,500.00, B = $65,536.00; B, because he receives $18,036.00 more
A = $48,221.06, B = $17.00; A, because he receives $48,204.06 more
A = $48,221.06, B = $65,536.00; B, because he receives $17,314.94 more
A = $47,500.00, B = $34,952.53; A, because he receives $12,547.47 more
Answer:
A = $47,500.00, B = $65,536.00; B, because he receives $18,036.00 more
Step-by-step explanation:
Option A Versus Option B
Option A Option B
Day Amount Deposited Day Amount Deposited
0 $40,000.00 0 $1.00
1 $40,250.00 1 $2.00
2 $40,500.00 2 $4.00
...
30 $47,500 16 $65,536.00
Answer:
A = $47,500.00, B = $65,536.00; B, because he receives $18,036.00 more
Can someone help me with these 3 plzzzz
Four sisters bought a present for their mother they received a 10% discount on the original price of the gift. After the dicount was taken, each sister paid $9.00. What was the orginal price of the gift?
Answer:
$40.00
Step-by-step explanation:
the total price of the gift (after discount) is 9.00 * 4 = 36
the original price of gift can be found using this equation:
x - (x*0.10) = 36
x - 0.10x = 36
0.9x = 36
x=40
Calculate the slope of the line that passes through (3,2) and (−7,4)
Answer:
-1/5
Step-by-step explanation:
It has a rise of 2 and a run of -10, therefore it is a slope of -2/10 or -1/5
Answer:
y = -1/5x
Step-by-step explanation:
Rise: 2
Run: -10
(っ◔◡◔)っ ♥ Hope It Helps & Please Consider Giving Brainliest♥
Anybody help me please!!!!!!!!!!!!!!!
Answer:
Reflection over the X axis.
Please answer correctly! I will mark you brainliest! Pictures go together!
Answer:
288pi
Step-by-step explanation:
The equation for volume of a sphere is 4/3 * pi * r^3
4/3 * pi * 216
288pi
Does y=-x+5 have one solution, no solution, or infinite solutions?
Answer:
I believe it has infinite solutions
Step-by-step explanation:
HELP ME PLZ!!!!!!!!!!!!!!!!!!
Answer:
A) 2 adults ....
B) 2% of adults.....
C) 3 % of adults...
Step-by-step explanation:
All the adults are 100 do any numbers past or under is like deciding by 100
Hope I helped
Based on John’s profile, what information should he expect to find on his credit report? Check all that apply.
inquiries from his lenders, the apartment complex, and Happy Hamburgers
a note about delinquency from National Bank
a current account for his student loan
a current account with National Bank
a current account with Happy Hamburgers
Answer: A,C,D
Step-by-step explanation:
I did the test
SOMEONE TELL ME WHAT IS 2,000 MINUS 1/4
Answer:
1999.75
Step-by-step explanation:
2000 - 0.25
1999.75
Aranibar had 35 in his safety box in January. By thanksgiving, he has $2500. What was his savings rate?
Answer:
71.43%
Step-by-step explanation:
2500/35 = 71.43
Aranibar's savings went up by 71.43%
answer the following
Answer:
hi
Step-by-step explanation:
whatup its bruce i am still deeply in love with you
Suppose that 16 inches of wire costs 64 cents. At the same rate, how many inches of wire can be bought for 48 cents?
Answer:
12 inches of wire.
Step-by-step explanation:
that is what I could think of good luck. if I'm wrong tell me I'll try again don't forget to tell me if I'm wrong.
Will give brainliest to the correct answer, complete with an in-depth explanation. Thank you!
Answer:
[tex]x \in [1, 6)[/tex]
Step-by-step explanation:
Because the function is decreasing:
[tex]g(x_1) > g(x_2) \iff x_1 < x_2[/tex]
So:
[tex]g(x^2) > g(5x + 6) \iff x^2 < 5x + 6\\x^2 < 5x + 6\\x^2 - 5x - 6 < 0\\x^2 - 5x + 6.25 - 12.25 < 0\\x^2 - 2\cdot 2.5x + 2.5^2 < 12.25\\(x - 2.5)^2 < 12.25\\x - 2.5 \in (-3.5; 3.5)\\x \in (-1; 6)\\[/tex]
Combining that with the domain [tex]D_g = [1; \infty )[/tex]
[tex]x \in [1, 6)[/tex]
4. Allison drew a triangle with 2 congruent sides and 1 obtuse angle. Which terms accurately describe the triangle? Select all that apply. A. Acute B. Isosceles C. Obtuse D. Scalene
Answer: I have been asked the same question I believe that it is obtuse and isosceles.
Step-by-step explanation: Well a triangle with 1 obtuse angle means it is an obtuse triangle but a triangle with 2 congruent means it is an isosceles triangle.
This angle is isosceles as well as obtuse.
What is an isosceles triangle?
Isosceles triangle is a triangle that has two equal sides.
What is an obtuse-angled triangle?
An obtuse-angled triangle is a triangle that consists of an interior angle of more than a right-angle (90)°.
As this triangle has two congruent side, it is an isosceles triangle.
Similarly, it has one obtuse angle. Therefore, this triangle is an obtuse-angled triangle.
Hence, for this triangle, B. Isosceles C. Obtuse both apply.
Learn more about isosceles and obtuse-angled triangle here: https://brainly.com/question/9872652
#Tag #SPJ2
HELP ME IM STUCK ANSWER IT QUICK
Answer:
red = 28 apples
green = 13 apples
equations:
r + g = 41
r = g + 15
Step-by-step explanation:
r = number of red
g = number of green
r = g + 15 (the number of red apples is 15 more than the number of green apples)
r + g = 41
Substitute the firs equation into the second and solve for a numerical value of g
(g + 15) + g = 41
2g + 15 = 41
2g = 26
g = 13
Now solve for a numerical value of r
r = g + 15
r = 13 + 15
r = 28
checking the math:
r + g = 41
28 + 13 = 41
Please lmk if you have any questions.
a laptop's screen is 8 inches long. if the diagonal measures 10 inches, what is the width of the laptop
[tex]\frac{3}{(x + 4 )} + \frac{4}{(x - 2) (x + 4)}[/tex]
20 m
7 m
9 m
10 m
Find the area of the triangle.
Answer:
200Step-by-step explanation:
oooooooo
Answer:
35m²
Step-by-step explanation:
1/2×10×7
=35m²
HELP PLEASE ILL AMRK U BRAINLIEST
you don't need to type out hat it is but you can just say, for example
1= ___(how many circles far down it is)
2=___
3=___
Answer:
i need points sorry ;(
Step-by-step explanation:
How much would 6 board foot cost at $3.25?
Answer:
If you mean 3.25$ a foot, it would cost 19.5$.
Step-by-step explanation:
Multiply 6 by 3.25, and you get 19.5.
Hope that this helps!
6 pounds 14 ounces = ounces
Answer:
110 oz
Step-by-step explanation:
6 lbs = 96 oz
96 oz + 14 oz = 110 oz
The graph shows amounts of water and flour that can be used to make dough. Make a ratio table that represents a different ratio of flour to wat Dough 16 12 5 Flour (cups) (3.5) 5 Dutch Water (cups) Water (cups) 1 2. Flour (cups) 2 CIR Use the table to describe the slope of the graph of the new relationship.
Answer:
1, 2, 3
2, 4, 6
Step-by-step explanation: