If the simple interest on $6,000 for 10 years is $5,400, then what is the interest rate?
Answer:
9%
Step-by-step explanation:
p*r*t = Interest
$6000*x*10 years = $5400
interest ÷ time ÷ principal = rate
5400 ÷ 10 ÷ 6000 = 0.09
0.09 = 9%
Solve the equation. 2/3 t=4/5
A. t= 2/15
B. t= 8/15
C. t= 1 and 1/5
D. t= 1 and 7/15
Answer:
it's C.
Step-by-step explanation:
make it braintliest please
Select the correct answer.
What are the slope and the y-intercept of the line of best fit on this scatter plot?
Answer:
A
Step-by-step explanation:
slope is change in y over change in x, line goes down 4, right three whole units, making the slope -4/3
y-intercept is where the line hits the y-axis
the line hits the y-axis at (0,8)
this makes the y-intercept 8
Answer:
The y-intercept is 8 , and the slope is -4/3.
Step-by-step explanation:
System of Equations : Money
Damian has been saving coins he finds on the ground for several months. So far he has found 37 coins that are either pennies or nickels. The combined value of his found pennies and nickels currently is $1.09. What is the system of linear equations, written using standard form, represents the situation if Damian found p pennies and n nickels.
Answer:
18 nickles 19 pennies
Step-by-step explanation:
value of 1 penny=$0.01
value of 1 nickle=$0.05
0.01p+0.05n=1.09
p+n=37
there are two methods for this system
I.substitution
p+n=37
p=37-n
we replace p in the first relation
0.01(37-n)+0.05n=1.09
0.37-0.01n+0.05n=1.09
0.04n=0.72
n=18 nickels
p+18=37
p=37-18=19 pennies
II.reduction
0.01p+0.05n=1.09
p+n=37
we multiply the second equation by 100
p+5n=109
p+n=37
we calculate the difference between the two relations
p-p+5n-n=109-37
4n=72
n=18
p+18=37
p=19
Whiteboard markers cost $4.75 per set at an office supply store. Which equation can be used to determine the price, P, of n sets of these markers? (10 points)
a
P = 4.75n
b
n = 4.75P
c
P equals 4.75 over n
d
n equals 4.75 over P
Answer: P=4.75n
Step-by-step explanation:
Answer:
P=4.75n
Step-by-step explanation:
A Porsche uses 2.5 litres of fuel every 2 kilometres it travels. How much fuel does it use if it travels 50 kilometres
Answer:
The Porsche uses 62.5 liters in 50 kilometers
Step-by-step explanation:
Amount of fuel Porsche uses = 2.5/2 liters/kilometer
= 1.25 L/Km
Distance to be travelled = 50 kilometer
Amount of fuel used in 50 km = 1.25 * 50
= 62.5 Liters
Therefore the Porsche uses 62.5 liters in 50 kilometers
Happy to help :)
If the Cable Company offers cable for $110 a month but gives a 10% discount for new customers. Find the cost for the new customers.
answer quickly. Thank You!!
Answer:
$99
Step-by-step explanation:
10% of 110 is 11
110 - 11
99
Answer:
$99
Step-by-step explanation:
First do
10% of 110
Which is 11
Then do
110-11
Which is 99
So the answer is $99
Find the slope intercept equation of the line.
Is 9 correct if now what is it?
Answer:
4 + 5 = 9
girls: 4/9 (680)
boys 5/9 (850)
total 1530
there are 850 boys and 680 girls.
Learning Task 1: Write and answer the following in your answer sheet
1. Evaluate the following polynomials in your answer sheet.
f(x) = x4 – 7x2 + 2x - 6
x=1
b. f(x) = 10x3 + 4x2 - 5
x = -3
f(x) = x4 + 5x3 - 2x + 3
a.
at
at
C.
find (2))2
2. Factor each polynomial completely using any method
(x + 1)(x2 – 5x + 6)
b. (x2 - * - 6)(x2 + 6x + 9)
x3 + 3x2 - 4x - 12
a.
C.
LABAR
Answer:
Evaluating Polynomials:
a. f(1) = -10
b. f(-3) = -239
c. f(2)² = 3125
Factoring Polynomials:
a. (x + 1)(x² - 5x + 6) = (x + 1)(x - 3)(x - 2)
b. (x² - x - 6)(x² + 6x + 9) = (x - 3)(x + 2)(x + 3)(x + 3)
c. x³ + 3x² - 4x - 12 = (x + 3)(x - 2)(x + 2)(x - 2)(x + 2)
A polynomial can be evaluated and factored by long division, factoring and synthetic division methods.
1. Evaluate polynomials
[tex]\mathbf{f(x) = x^4 - 7x^2 + 2x - 6}[/tex]
Substitute 1 for x
[tex]\mathbf{f(1) = 1^4 - 7(1)^2 + 2(1) - 6}[/tex]
[tex]\mathbf{f(1) = 1 - 7 + 2 - 6}[/tex]
[tex]\mathbf{f(1) = -10}[/tex]
[tex]\mathbf{f(x) = 10x^3 + 4x^2 - 5}[/tex]
Substitute -3 for x
[tex]\mathbf{f(-3) = 10(-3)^3 + 4(-3)^2 - 5}[/tex]
[tex]\mathbf{f(-3) = -270 + 36 - 5}[/tex]
[tex]\mathbf{f(-3) = -239}[/tex]
[tex]\mathbf{f(x) =x^4 + 5x^3 - 2x + 3}[/tex]
Substitute 2 for x
[tex]\mathbf{f(2) =2^4 + 5(2)^3 - 2(2) + 3}[/tex]
[tex]\mathbf{f(2) =16 + 40 - 4 + 3}[/tex]
[tex]\mathbf{f(2) =55}[/tex]
Square both sides
[tex]\mathbf{f(2)^2 =3025}[/tex]
Hence, the results of evaluating the polynomials are [tex]\mathbf{f(1) = -10}[/tex], [tex]\mathbf{f(-3) = -239}[/tex] and [tex]\mathbf{f(2)^2 =3025}[/tex]
2. Factor the polynomials
[tex]\mathbf{(x + 1)(x^2 - 5x + 6)}[/tex]
Expand
[tex]\mathbf{(x + 1)(x^2 - 5x + 6) =(x + 1)(x^2 - 2x - 3x + 6) }[/tex]
Factorize
[tex]\mathbf{(x + 1)(x^2 - 5x + 6) =(x + 1)(x(x - 2) - 3(x - 2) )}[/tex]
Factor out x - 2
[tex]\mathbf{(x + 1)(x^2 - 5x + 6) =(x + 1)(x - 3)(x - 2) }[/tex]
[tex]\mathbf{(x^2 - x - 6)(x^2 + 6x + 9)}[/tex]
Expand
[tex]\mathbf{(x^2 - x - 6)(x^2 + 6x + 9) = (x^2 +2x - 3x - 6)(x^2 + 3x +3x + 9)}[/tex]
Factorize
[tex]\mathbf{(x^2 - x - 6)(x^2 + 6x + 9) = [x(x +2) - 3(x + 2)][x(x + 3) +3(x + 3)]}[/tex]
Factor out x + 2 and x + 3
[tex]\mathbf{(x^2 - x - 6)(x^2 + 6x + 9) = [(x - 3) (x + 2)][(x + 3)(x + 3)]}[/tex]
Remove square brackets
[tex]\mathbf{(x^2 - x - 6)(x^2 + 6x + 9) = (x - 3) (x + 2)(x + 3)(x + 3)}[/tex]
[tex]\mathbf{x^3 + 3x^2 - 4x - 12}[/tex]
Factorize
[tex]\mathbf{x^3 + 3x^2 - 4x - 12 = x^2(x + 3) - 4(x + 3)}[/tex]
Factor out x + 3
[tex]\mathbf{x^3 + 3x^2 - 4x - 12 = (x^2 -4) (x + 3)}[/tex]
Apply the difference of two squares
[tex]\mathbf{x^3 + 3x^2 - 4x - 12 = (x -2)(x+2) (x + 3)}[/tex]
Hence, the results of factoring the polynomials are [tex]\mathbf{(x + 1)(x^2 - 5x + 6) =(x + 1)(x - 3)(x - 2) }[/tex], [tex]\mathbf{(x^2 - x - 6)(x^2 + 6x + 9) = (x - 3) (x + 2)(x + 3)(x + 3)}[/tex] and [tex]\mathbf{x^3 + 3x^2 - 4x - 12 = (x -2)(x+2) (x + 3)}[/tex]
Read more about polynomials at:
https://brainly.com/question/11536910
there are 56 tulips in a flowerbed. the ratio of tulips to daffodils is 3:5. how many tulips and how many daffodils are there in a flowerbed? (Pls answer correctly)
Answer:
96
Step-by-step explanation:
3x + 5x = 8x.
8 altogether --> 3 tulips and 5 daisies
16 altogether --> 6 tulips and 10 daisies
24 altogether ---> 9 tulips and 15 daisies
etc
etc
48 altogether --> 12 tulips and 20 daisies
96 altogether --> 15 tulips and 25 daisies
Answer:
55 : 56.6666666667
Step-by-step explanation:
3:5 ÷ 3 = 1 : 1.66666666667 + 55= 56.6666666667
Please help!!!———————-
f(n) = 2000 + 500(n-1)
Step-by-step explanation:
most logical explanation considering the other options make no sense
what is equal to 2/5
Answer:
0.4
Step-by-step explanation:
Which situation can be represented by the equation y=74x?
What do you "mean"?
What is the solution to this equation?
X-8 = 15
Α. x= 17
Β. χ= 13
C. χ= 7
D. χ= 23
Answer:
D.) X=23
Step-by-step explanation:
cause you add 8 to each side then simplify and you get 23
Use the properties of exponents to simplify the expression: 2532
25
3
2
Question 11 options:
A)
125
B)
25
C)
625
D)
5
Question 12 (5 points)
Solve the inequality: (x −3)12+ 2 ≥4
(
x
-
3
)
+
2
≥
4
Question 12 options:
A)
x ≥ 35
B)
x ≥ 11
C)
x ≥ 7
D)
x ≥ 13
Question
Use the properties of exponents to simplify the expression: [tex]25^{\frac{3}{2}}[/tex]
Answer:
[tex]25^{\frac{3}{2}} = 125[/tex]\
Step-by-step explanation:
Given
[tex]25^{\frac{3}{2}}[/tex]
Required
Simplify
[tex]25^{\frac{3}{2}}[/tex]
Apply the following law of indices
[tex]a^{\frac{m}{n}} = (a^m)^{\frac{1}{n}}[/tex]
So, the expression becomes
[tex]25^{\frac{3}{2}} = (25^3)^{\frac{1}{2}}[/tex]
Express [tex]25^3[/tex] as 15625
[tex]25^{\frac{3}{2}} = (15625)^{\frac{1}{2}}[/tex]
In indices: [tex]a^{\frac{1}{2}} = \sqrt a[/tex]
So, we have:
[tex]25^{\frac{3}{2}} = \sqrt{15625[/tex]
[tex]25^{\frac{3}{2}} = 125[/tex]
5(-6 + 4)=..................
Answer:
-10
Step-by-step explanation:
5(-6 + 4)
=-30+20
=-10
Answer:
-10 or just 10 in general
Step-by-step explanation:
On a coordinate plane, point Q is 0.5 units to the left and 1.25 units up. Point R is 1.25 units to the right and 0.5 units up. Point S is 0.25 units to the right and 0.25 units up. Point U is 0.25 units to the left and 0.25 units down. Point W is 0.5 units to the left and 1.25 units down. Point V is 0.5 units to the right and 1.25 units down. Which point is located at (–0.50, –1.25)? Point
Answer:
Point W
Step-by-step explanation:
Answer:
point W
Step-by-step explanation:
i did edge
Find the value of x and the measure of the angle labeled 16X".
112
64°
48°
16x
Answer:
[tex]16x = 48\:(vertically\:opposite\:angles)\\ \boxed{x = 3} \\ angle \: measure \: is \: \boxed{48°}[/tex]
A. is the right answer.Answer:
A
Step-by-step explanation:
Need help ASAP... 10 points!!
Answer:
I'm 89.73% sure that the answer is 90 degrees
Step-by-step explanation:
because you are on a right angle
yoo i need help... pls
Answer:
-9x⁹y⁵Step-by-step explanation:
Simplifying:
(-8x⁴y³)*(2x⁵y²) + 7x⁹y⁵ =-16x⁴⁺⁵y³⁺² + 7x⁹y⁵ =-16x⁹y⁵ + 7x⁹y⁵ =(-16 + 7)x⁹y⁵ =-9x⁹y⁵Step-by-step explanation:
-9x⁹y⁵Simplification↑A cable company charges $70 per month for cable service to existing customers.
a. Write a linear equation representing the relationship between x, the number of months of service, and y, the total amount paid in dollars by an existing customer.
b. For new customers, there is an additional one-time $100 service fee. Repeat the previous problem for new customers.
c. When the two equations are graphed in the coordinate plane, how are they related to each other geometrically?
50 points to answer it. I need help it's the last question of my homework.
Answer:
a: y=70x
b: y=70x+100
c: They are parallel to each other, with equation b's line being 100 dollars above equation a.
Step-by-step explanation:
They both have the same slope (70), but new customers will have a y intercept of 100 because of the one-time fee.
c)
Step-by-step explanation:
everybody use their cable difference so when you graph out the amount of cable which come with data the previous customers data and cable rates would be different then the new customers and the company should be able to tell that . but it still does happen today
How to Rewrite the expression 4(13-10) using distributive property of multiplication over subtraction
Answer:
52-40
Step-by-step explanation:
distribute 4 to 13 and 10
put the subtraction sign back in
Help pleaseeeeeee I’m so lost
Answer:
yes no no yes
Step-by-step explanation:
A painter leans an 18 foot ladder against the house so that the base of the ladder is 4 feet away from the wall. Approximately how far up the side of the house does the ladder reach?
Answer: 17.5ft
Step-by-step explanation:
Use Pythagorean theorem
A^2 + B^2 = c^2 where c is the hypotenuse
The ladder leaning against the wall is the hypotenuse.
4^2 + b^2 = 18^2
16 + b^2 = 324
324-16 = b^2
308 = b^2
B = 17.5ft
you will have amazing luck if you help me
Answer:
b
Step-by-step explanation:
because of the value of the area
b is the answer
Directions: Convert the following equations from standard form to slope-intercept form.
(10 points)
14. 4x + y = -1
15. 5x - 2y = 14
16. 10x - 2y = -6
17. 8x + y = 12
18. 6x - 10y = 20
Tanner's employer pays 60% of his medical insurance. If the insurance costs $40
per week. How much Tanner and his employer pay for the entire year?
Answer:
Tanner's employer pays $1251.43 a year and tanner pays $834.29
Step-by-step explanation:
An individual rides a bike at a rate of 15 miles per hour for h hours. Write an equation that expresses the situation, let x be the independent variable and y be the dependent variable.
Answer:
15y+x
Step-by-step explanation:
b) The price of a computer was $375. In a sale, the price was reduced by 15%. Calcuate the reduction
in the price of the computer