Answer:
The interest on the investment is $16,170.93811
Step-by-step explanation:
The rule of the compound interest is [tex]A=P(1+\frac{r}{n})^{nt}[/tex], where
A is the new valueP is the initial valuer is the rate in decimaln is the number of periods in timet is the time∵ The investment is $45,000
∴ P = 45,000
∵ The interest on the investment is compounded annually at 5.25%
∴ r = 5.25% = 5.25 ÷ 100
∴ r = 0.0525
∴ n = 1 ⇒ compound annually
∵ It is for 6 years
∴ t = 6
→ Substitute them in the rule above
∵ [tex]A=45,000(1+\frac{0.0525}{1})^{1(6)}[/tex]
∴ [tex]A=45,000(1.0525)^{6}[/tex]
∴ A = 61,170.93811
∵ I = A - P, where I is the interest
∴ I = 61,170.93811 - 45,000
∴ I = 16,170.93811
∴ The interest on the investment is $16,170.93811
For a new customer, a video store charges $10 for a rental card plus $2 per movie. Using the linear equation (y=mx+b) you wrote, find the cost for a new customer to rent 6 movies.
Given:
Charges for rental card = $10
Charges for movie = $2 per movie
To find:
The linear equation for given situation and find the cost to rent 6 movies.
Solution:
Let y be the total cost for x number of movies.
Cost of one movie = $2
Cost of x movies = $2x
Total cost = Charges for rental card + Charges for x movies
[tex]y=10+2x[/tex]
Put x=6 to find the cost of 6 movies.
[tex]y=10+2(6)[/tex]
[tex]y=10+12[/tex]
[tex]y=22[/tex]
Therefore, the total cost for a new customer to rent 6 movies is $22.
Find the side indicated by the variable. Round to the nearest tenth.
PLEASE HELP
Answer:
I think it would be 10.1 but I'm not 100% sure
how many yards are there in 5 miles?
Answer:
8800
Step-by-step explanation:
Answer:
8800 yards
Step-by-step explanation:
hope it helps
8. A yard is closest in distance to a
a. kilometer.
b. centimeter.
C. meter.
d. millimeter.
Answer:
meter
Step-by-step explanation:
Answer:
Meter
Step-by-step explanation:
Kilometer is too long
Centimeter is too shot
Millimeter is way too short
Meter is the closest to yard
1 meter equals 1.09361 yards
Please help! Step by step explanation, Graph the step function over the interval
The graph shows the relationship between the number of gallons of gas that are purchased and the total cost
Answer:
962.5 is the answer
Step-by-step explanation:
One gallon cost 2.5 dollars and according to this 1*2.5=2.5+2*5=10........
The relationship between no. of gallons and the total cost of purchasing is in a linear relationship.
What is a linear relationship ?A linear relationship between two variable is when one variable is increased or decreased by some constant this results in same amount of increase or decrease in the another variable.
According to the given data
The relationship between the number of gallons of gas that are purchased and the total cost is in linear relationship.
A linear relationship forms when increasing a variable k times results in increase of k times on the another variable and same is for decrease.
We can observe when x = 1, y = 2.5.
Now suppose k is 10
∴ x = 1k and y = 2.5k
x = 10 and y = 25. Which is already given in the diagram showing a linear relationship.
Learn more about linear relationship here :
https://brainly.com/question/10713055
#SPJ6
3 4 (x−12)=12 whats the answer tehe
Answer:
x= 12 6/17
Step-by-step explanation:
136 = -8(1 + 6v)
Help
Answer:
-3
Step-by-step explanation:
136 = -8(1+6v)
136 = -8 - 48v
136 + 8 = -48v
144 = -48v
144/ -48 = v
-3 = v
To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line represented by 2x + 5y = 10?
negative StartFraction 5 Over 2 EndFraction
negative StartFraction 2 Over 5 EndFraction
StartFraction 2 Over 5 EndFraction
StartFraction 5 Over 2 EndFraction
please help
Answer:
negative StartFraction 2 Over 5 EndFraction
Step-by-step explanation:
2x +5y = 10
5y = - 2x + 10
y = - 2/5 x + 10
Equating it with y = mx + b
m = - 2/5
Answer:
-2/5
Cause i said so fools get the bread
Can somebody plz correct me and answer number 35-36
WILL MARK BRAINLIEST
Answer:
35)The way to solve this is by making the decimal a fraction, 6tenths equals 6/10.
Now we find a common denominator,lets use 30.
multiply the 6/10 by 3 to get 18/30
multiply 2/3 by 10 to get 20/30
2/3 is greater than 0.6
Step-by-step explanation:
15 points for answer and brainliest answer for correct answer. Question up above
Answer:
i think its 48
Step-by-step explanation:
u can split it into 2 triangles
Write in index form
9x9x9
Answer: 9^3 or 9 by the power of 3.
Step-by-step explanation:
HELPPPPPPPPP ASAPPPPPPPP PLSSSS
-1/3(px-2) = 9
ok! so first we want to isolate x.
multiply both sides by -3/1 (this is the reciprocal of -1/3)
(px-2) = -27
px = -27 + 2
px = -25
x = -25/p
hope this helped!
Pl help me quickly!!!!!!!!!!!
Answer:
12% i thinkkkk
Step-by-step explanation:
Answer:
12 percent
Step-by-step explanation:
Amy has ridden 12 percent so far. You can just set up a proportion for this probelm
1 Set up equation 3/25 = %/100
2 Solve the equation by multiply 3 and 100 then divide by 25.
3 Finally your answer should be 12.%
pls mark brainliest because i didnt waste your time
WHAT IS THE SLOPE? !! WILL GIVE BRAINLIEST
Answer:
To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points
Answer:
Step-by-step explanation:
2/3 is your slope.
Yesterday, Jack drove 31 1/2 miles. He used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon.?
Answer:
25.2 miles per gallon
Step-by-step explanation:
the easiest way to solve would be to set this up as fractions
The perimeter of the rectangle is 42 inches. Find the value of x.
Answer:
x=3
Step-by-step explanation:
(5x*2)+ ((x-3)2)=42
10x+2x-6=42
12x-6=42
-6 -6
12x=36
x=3
Answer:
x=3
Step-by-step explanation:
(5x*2)+ ((x-3)2)=42
10x+2x-6=42
12x-6=42
-6 -6
12x=36
x=3
Can somebody help with my math gotta be serious about it tho!
Answer: ok
Step-by-step explanation:
Answer:
I can try to help
Step-by-step explanation:
It depends one the question and what math subject.
So ask the question and people should help.
Please answer correctly !!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
WORTH 15 POINTS!!!
Ok so people have told me before that you can’t post links here, but I’m pretty sure you can in the chat area. Please if you can send link of a good water fall and/or mountain painting. (And yes, i know there is gogle and you tube, I just can’t find anything good.)
Answer:
Hi, don't worry, I am not one of those persons who want to answer just because of points. Please look in the chat. Brainliest please...
Step-by-step explanation:
Jada makes sparkling juice by mixing 2 cups of sparkling water with every 3 cups of apple juice. How much sparkling water does Jada need if she uses 8 coups of sparkling water.
Answer:
Step-by-step explanation:
2 cups of sparkling water with every 3 cups of apple juice = sparkling juice
Sparkling water : apple juice
2 : 3
How much sparkling water does Jada need if she uses 8 cups of apple juice.
Sparkling water : apple juice
x : 8
Equate both ratios
2 : 3 = x : 8
2/3 = x / 8
2*8 = 3*x
16 = 3x
x = 16 / 3
= 5.33 cups
Sparkling water = 5.33 cups
How much apple juice does Jada need if she uses 8 cups of sparkling water
Sparkling water : apple juice
8 : y
Equate both ratios
2 : 3 = 8 : y
2/3 = 8 / y
Cross product
2 * y = 3 * 8
2y = 24
y = 24 / 2
= 12
y = 12
Apple juice = 12 cups
NOTE: There is an error in your question, you wrote "How much sparkling water does Jada need if she uses 8 coups of sparkling water." but I solved for both sparkling water and apple juice using 8 cups since your question was not clear enough.
How many pairs of angles are marked as congruent in the figures below?
pls answer real quick 20 points!!!!!!
Answer:2
Step-by-step explanation:According to the diagram,there is a single angle marking for one pair of angles V and M,a double angle marking for angles X and L.
Answer:
I got C. 2
Step-by-step explanation:
I finished the test ( :
please help! thank you
9514 1404 393
Answer:
y = (-7/3)x +3
Step-by-step explanation:
The line has a negative slope (eliminating choices B and C) that is steeper than a line with a slope of -1, The only answer choice with a negative slope less than -1 is choice D.
__
The slope is the coefficient of x. It is "rise"/"run". Here, the line goes through grid points (0, 3) and (3, -4), so drops 7 units (rise=-7) for each 3 units to the right (run=3). Then the slope is rise/run = -7/3.
The line crosses the y-axis at y=3, so the slope-intercept equation is ...
y = mx + b . . . . . . . . slope = m; y-intercept = b
y = (-7/3)x +3
Write the period and amplitude of each function.
Y=sin x
help me please The total number of students who could attend a field trip is represented by the variablet. The number of students in Group A is less than the number in Group B. Group A has 6 students more than the total number of students, while Group B has 3 less than the total number of students. Which inequality represents this situation?
O ¼t + 6 < t – 3
O (¼ + 6)t < t – 3
O ¼t + 6 < 3 – t
O 6t + ¼ < t – 3
Answer:
1/4 +6<t-3
Step-by-step explanation:
the answer is tahta
Answer: I think it is the first answer
Step-by-step explanation:
Group A = < Group B
Group A has 6 more than total so 1/4t+6
Group B has 3 less than total so t-3
what is the approximate area of the shaded sector in the circle below?
Answer:
they deleted my account
Step-by-step explanation:
solve for f. -11f = 7(1 - 2f) + 5
Answer:
F = 4
Step-by-step explanation:
−11f=7−14f+5
−11f=−14f+12
−11f+14f=12
3f=12
f=
3
12
f=4
Answer:
f=
23/14
=1.643
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-11-(7*(1-2*f)+5)=0
-11 - (7 • (1 - 2f) + 5) = 0
14f - 23 = 0
3.1 Solve : 14f-23 = 0
Add 23 to both sides of the equation :
14f = 23
Divide both sides of the equation by 14:
f = 23/14 = 1.643
Write an equation of the line passing through point P(−8, 0) that is perpendicular to the line 3x−5y = 6.
Answer:
y = -5/3 * x - 40/3
Step-by-step explanation:
A perpendicular line has an opposite and a reciprocal of the slope.
Your equation should be:
-5y = -3x +6
Divide all parts by -5.
y = 3/5x - 6/5
Since the perpendicular line has an opposite and a reciprocal of the slope, the slope will be -5/3.
Now you must make an equation in point-slope form. This is an example of that form. You will need at least one point to make this equation work. In this case we have (-8,0).
In put the y and x coordinates like this:
y - 0 = -5/3(x - (-8)
Start solving the equation.
y - 0 = -5/3(x + 8)
y - 0 = -5/3 * x - 40/3
y = -5/3 * x - 40/3
This is your equation.
y = -5/3 * x - 40/3
(You can make it -5/3x in your answer but it looks weird online. You may think that it is -5 divided by 3 times x, but it actually is 5/3 times x. That's why I wrote it as y = -5/3 * x - 40/3)
9514 1404 393
Answer:
5x +3y = -40
Step-by-step explanation:
When the equation of a line is given in standard form, the equation of the perpendicular line can be found by swapping the coefficients of x and y, and negating one of them.
Here, that means the equation ...
3x -5y = constant
becomes
5x +3y = new constant
The value of the new constant is found by putting the given point coordinates in the expression on the left:
5x +3y = 5(-8) +3(0) = -40
The equation of the perpendicular line is ...
5x +3y = -40
y=4x+3 y=-x -2 I need help please
Answer:
y = mx + b
Step-by-step explanation:
Please help thank you
Answer:
Step-by-step explanation:
A: quotient
B: dividend
C: divider