Answer:
p2 = -1
Step-by-step explanation:
p = -1/2
p2 = (-1/2)*2
p2 = -2/2
p2 = -1
Karolyn puts 4,500 into a life insurance policy that pays 7.5% annual interest. If no additional investment is made into the policy how much accumulated interest should Karolyn expect at the end of 10 years?
Answer: $4,774.64
Step-by-step explanation:
The amount after 10 years assuming 7.5% compound interest is:
= Amount * ( 1 + rate) ^ no. of years
= 4,500 * ( 1 + 7.5%)¹⁰
= $9,274.64
The accumulated interest is:
= Amount after 10 years - Present amount
= 9,274.64 - 4,500
= $4,774.64
A triangle has one side that is 5 inches long and another that is 7 inches long. How many different lengths, in inches,are possible for the last side of the triangle?
Answer:
2 < c < 12
Step-by-step explanation:
Let the last side of the triangle = c
The sum of any two sides must be greater than the third side. Let's say we have triangle ABC, where a = 5 inches and b = 7 inches
a + b > c (1)
a + c > b (2)
b + c > a (3)
From (1);
a + b > c
7 + 5 > c
c < 12
From (2):
a + c > b
7 + c > 5
7 - 5 < c
c > 2
From (3):
b + c > a
5 + c > 7
c > 7 - 5
c > 2
So the possible lengths of c are: 2 < c < 12
find the x-intercepts of y= x^2+4x+8 using the quadratic formula.
Answer: To find the x-intercept, substitute in
0
for
y
and solve for
x
. To find the y-intercept, substitute in
0
for
x
and solve for
y
.
x-intercept(s):
(
2
+
2
√
3
,
0
)
,
(
2
−
2
√
3
,
0
)
y-intercept(s):
(
0
,
8
)
Step-by-step explanation: To find the x-intercept, substitute in
0
for
y
and solve for
x
. To find the y-intercept, substitute in
0
for
x
and solve for
y
.
x-intercept(s):
(
2
+
2
√
3
,
0
)
,
(
2
−
2
√
3
,
0
)
y-intercept(s):
(
0
,
8
)
******WORTH 85 POINTS******WILL MARK BRAINLIEST*****PLEASE ANSWER ALL QUESTIONS****
A catering company is setting up tables for a big event that will host 360 people. When they set up the tables they need 2 forks for each
child and 5 forks for each adult. The company ordered a total of 1470 forks. Set up a system of equations involving the number of adults,
a, and the number of children, c, and solve to find out how many of each attended the event.
A) Create an equation to represent the breakdown of people attending this event (children and adults).
B) Create an equation to model the number of forks used at this event.
C) Solve the system you created and write down the number of Children and Adults that attended.
180 c
70 a
360 divided by 2 = 180 c
360 divided by 5 = 70 a
Which expression is equivalent to (3x2+3x−3)−(6x2−4x−2)?
A
−3x2+7x−1
B
−3x2−x−5
C
−3x2+7x−5
D
−3x2−x−1
Answer:
A. -3x^2+7x-1
Step-by-step explanation:
(3x^2+3x-3)-(6x^2-4x-2)
3x^2+3x-3-6x^2+4x+2
-3x^2+7x-1
Alternate interior angles are always congruent. TRUE OR FALSE
Answer:
false
Step-by-step explanation:
Answer:
False.
Step-by-step explanation:
Alternate interior angles are congruent only when the two lines intercepted are parallel.
15 chocolate were distributed between raju and sanju in the ratio 2:3 . How many chocolates did raju receive?
Answer:
6chocolates
Step-by-step explanation:
Given
The total number of chocolate = 15chocolates
If it is divide into ratio 2:3
total ratio = 2+3
Total ratio = 5
Number of chocolate raju receives = 2/5 * 15
Number of chocolate raju receives = 2 * 3
Number of chocolate raju receives = 6chocolates
The number of chocolates that Raju received are; 6 chocolates
ProportionWe are told that;
Number of chocolates distributed = 15
Ratio of sharing between Raju and sanju = 2:3
Thus, fraction to be received by both of them are;
For Raju = 2/(2 + 3) = 2/5For Sanju = 3/(2 + 3) = 3/5Thus;
Amount of chocolates for Rajus = 2/5 × 15 = 6
In conclusion, Raju received 6 chocolates.
Read more about proportion at; https://brainly.com/question/1781657
I can choose and create diagrams to help me compare two situations.
SOMEONE PLEASE HELP MY TEACHER WANTS TO PUT ME IN SUMMER SCHOOL SO I NEED TO GET MY HW DONE ASAP SO PLEASE REPLY WITH AN ANSWER PLSS!!!
Answer:
blurred poate
Step-by-step explanation:
blurred po ate
Find the missing length. The triangles in each pair are similar.
Answer:
........................................
135 is 90% of what number
Answer:
150
Step-by-step explanation:
0.90x=135
x=135/0.90
x=150
8.8C
What value of x makes this equation true?
12x - 15 = 6 - 3x
PLEASE HELP I WILL MARK YOU BAINLIEST AND SHOW YOUR WORK PLEASE
A school is raising money to build a new auditorium! It costs $6,500 to hire a worker to put in new floors in the auditorium. The other information about the cost of the project is below:
The teachers have already raised $500.
There are twelve teachers trying to help the school raise money and each teacher raises the same amount of money.
The teachers organize a car wash and earn $10 for each car they wash.
How many cars must each teacher wash to raise enough money to complete the new auditorium?
Answer:
54
Step-by-step explanation:
6500/12=541....
540/10
54
What is the distance between points A (3,-5) and B(-8,2) on the coordinate plane?
Answer:
[tex]\sqrt{-51}[/tex]
or aprox 7.14
hopefully this helps
20) If the area of a rectangular playground is
p^2 -6p - 7 square feet, what is the perimeter of the
playground?
Answer:
Explanation:
Write an equation to solve the problem.
Area of rectangle = L(w)
Assuming that the width measures x meters, the length measures x + 5 meters.
500 = x(x + 5)
500 =
x
2
+ 5x
0 =
x
2
+ 5x - 500
As you may already know, a trinomial of the form
a
x
2
+ bx + c, a = 1, you must find 2 numbers that multiply to c and that add to b. Two numbers that multiply to -500 and add to +5 are +25 and -20
0 = (x + 25)(x - 20)
x = -25 and 20
Since a negative length is impossible, the width mesures 20 meters and the length measures 25 meters.
Practice exercises:
A rectangle has a perimeter of 90 meters. Find the maximum area.
The area of a right triangle is 120
m
2
. The base measures half the sum of the height and one. Find the perimeter.
Find the area and perimeter of a right triangle the has a height that is 2 more than the double of the width and that has a hypotenuse that measures
√
68
meters.
Good luck!
Step-by-step explanation:
Ana planted a garden with equal of roses daffodils and tulips. if she randomly selects a flower what is the probability that it is a lilly
Answer:
33.3%
Step-by-step explanation:
If all of them are equal out of 100%
that means Roses are 33.3 daffodils are 33.3 and lilly's are 33.3
Which of the following functions translates the graph of the parent
function f(t) = x² horizontally left 6 units?
Answer:
shawty us bad with the scratchers in
please help!!No links
A printer makes more than 3 copies of a book every hour. How many books can the printer make in 4 hours?
Answer:
12
Step-by-step explanation:
4 x 3 is 12
What are the roots of this equation x^2-2x+3=0
Step-by-step explanation:
hope it's help.
see answer attached
what's the answer to this problem?
[tex]5x + 35 = 45[/tex]
Answer:
5x+35=45
5x=45-35
5x=10
x=2
How may candies did Thad get all together? Pls help quickly
Answer:
all together there is 141 candies in all
What are the zeros of f(x) = x2 + 3x - 10?
A. X= -5 and x = 2
B. x= -5 and x = -2
C. X= 5 and x = -2
D. x = 5 and x = 2
Answer:
(x+5) (x-2)
SO -5 and 2 option A
Step-by-step explanation:
factor it. and set equal to zero.
What is the slope, m, of the line through (-9, -17) and (-9, 12)?
Express the slope as a fraction in lowest terms.
If the slope is undefined, enter undefined into the text box.
m =
Answer:
m = undefined
Step-by-step explanation:
(-9, -17) and (-9, 12)
Slope:
m=(y2-y1)/(x2-x1)
m=(12+17)/(-9+9)
m=29/0
Since 0 is the denominator, the slope is undefined
2) If there was a discount of 20%, what is the final deconstructed
percent? *
A.0.8%
B.120%
C.20%
D.80%
Answer:
Step-by-step explanation:
Select the statement that describes this expression: 10 + fraction 1 over 4x (5 + 3) − 3. (2 points)
10 more than fraction 1 over 4 of the sum of 5 and 3, then subtract 3
fraction 1 over 4 of 10 times the sum of 5 and 3, minus 3
3 more than 3 plus 5 multiplied by fraction 1 over 4, then add 10
10 times fraction 1 over 4 plus 3 and 5, minus 3
Answer:
10 more than fraction 1 over 4 of the sum of 5 and 3, then subtract 3
plz mark as brainliest
hope it helps
Answer:10 more than fraction 1 over 4 of the sum of 5 and 3, then subtract 2
Step-by-step explanation:
Find the value of a. Round your answer to the nearest tenth.
Answer:
Polly do you know the formula for law of Cosines?
find it if you don't
Step-by-step explanation:
a = sqrt( b^2 +c^2 - 2bcCos(A) )
a = sqrt( 100 + 62.41 -34.197)
a = sqrt(128.213)
a = 11.323
a = 11.3 ( to the nearest tenth )
what is the value of d?
Bounty paper towels cost $8.49 for 8 rolls. Brawny paper towels cost $13.99 for 12 rolls. Which is the better buy?
Answer:
Bounty Paper Towels is the better deal
Step-by-step explanation:
8.49 divided by 8 = 1.06125 ($1.01)
13.99 divided by 12 = ~1.16583 ($1.16)
The Brawny is more expensive per roll, so Bounty would be a better deal
Please helppp
The function ƒ(x) = 2x − 1 indicates:
a downward shift of 1 unit.
a shift of 1 unit to the left.
an upward shift of 1 unit.
None of these choices are correct.
Answer:
It is a downward shift of one unit
How can I Solve this problem Solve. for g.
18 = 3g
g
Answer:
[tex]g = 6[/tex]
Step-by-step explanation:
1) Diving both sides by 3.
[tex] \frac{18}{3} = g[/tex]
2) Simplify 18/3 to 6.
[tex]6 = g[/tex]
3) Switch sides.
[tex]g = 6[/tex]
Therefor, the answer is g = 6.