formula used : [tex]\sf A = P(1 + \dfrac{r}{n})^{nt}[/tex]
============================
✔A) A 2-year loan with a 4.75% interest rate compounded annually.
[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{4.75\%}{1})^{(1)(2)}[/tex]
[tex]\hookrightarrow \sf A = \$10,972.56[/tex]
interest : $10,972.56 - $10,000 = $972.56B) A 3-year loan with a 4.00% interest rate compounded annually.
[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{4.00\%}{1})^{(1)(3)}[/tex]
[tex]\hookrightarrow \sf A = \$11248.64[/tex]
interest : $11,248.64 - $10,000 = $1248.64C) A 4-year loan with a 3.75% interest rate compounded annually.
[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{3.75\%}{1})^{(1)(4)}[/tex]
[tex]\hookrightarrow \sf A = \$11586.50415[/tex]
interest : $11,586.50415 - $10,000 = $1586.5D) A 5-year loan with a 3.00% interest rate compounded annually.
[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{3.00\%}{1})^{(1)(5)}[/tex]
[tex]\hookrightarrow \sf A = \$ 11592.74074[/tex]
interest : $11,592.74074 - $10,000 = $1592.74Thus loan of 2-year loan with a 4.75% interest which is compounded annually will allow him to pay the least interest of only $972.56.
The least interest is 972.56 dollars. Then he has to select a 2-year loan with a 4.75% interest rate compounded annually.
What is compound interest?Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
We know that the formula for the amount will be
[tex]A = P (1 + r) ^t[/tex]
A = Amount
P = Loan amount
r = rate of interest
t = time
The interest is given as
Interest = A - P
Charles needs a $10,000 loan in order to buy a car.
A) A 2-year loan with a 4.75% interest rate compounded annually. Then the amount will be
[tex]\rm A = 10000(1.0475)^2\\\\A = 10972.56[/tex]
Then the interest will be
Interest = 10972.56 - 10000
Interest = 972.56
The amount of interest is $972.56.
B) A 3-year loan with a 4.00% interest rate compounded annually. Then the amount will be
[tex]\rm A = 10000(1.04)^3\\\\A = 11248.64[/tex]
Then the interest will be
Interest = 11248.64 - 10000
Interest = 1248.64
The amount of interest is $1248.64.
C) A 4-year loan with a 3.75% interest rate compounded annually. Then the amount will be
[tex]\rm A = 10000(1.0375)^4\\\\A = 11586.50[/tex]
Then the interest will be
Interest = 11586.50 - 10000
Interest = 1586.50
The amount of interest is $1586.50.
D) A 5-year loan with a 3.00% interest rate compounded annually. Then the amount will be
[tex]\rm A = 10000(1.03)^5\\\\A = 11592.74[/tex]
Then the interest will be
Interest = 11592.74 - 10000
Interest = 1592.74
The amount of interest is $1592.74.
More about the compound interest link is given below.
https://brainly.com/question/25857212
help me with this please
Answer:
27720cm
Step-by-step explanation:
to find area, we multiply all the widths.
11×14×20×9= 27720cm
Answer:
235 square centimeters
Step-by-step explanation:
Split The Shape Into 2.
Shape 1: 11 cm by 14 cm
11 cm * 14 cm = 154 square centimeters
Shape 2: (20 - 11) cm by 9 cm
(20 - 11) cm * 9 cm = 9 cm * 9 cm = 81 square centimeters
Original Shape = Shape 1 + Shape 2
154 + 81 = 235 square centimeters
32Two functions are shown.
What is the rate of change, in simplest form, of the function that has the lesser rate of change?
Answer:
4/12
Step-by-step explanation:
rate of change formula
f(b) - f(a) / b-a
f (5)- f (1) / 12-0
5-1 / 12-0
4/12
(20 POINTS PLS HELP!!)
Answer:
The answer is b.
Step-by-step explanation:
if you look up what a ray is, it will look like the description b has.
40 points to who ever can help
Answer: not sure what country mathmatics it is but 12 divided by 4 = answer
Step-by-step explanation:
[tex]\qquad\qquad\huge\underline{{\sf Answer☂}}[/tex]
As we have been given ~
Volume of Cylinder : ( r = 2 ft , h = 12 ft )[tex]\qquad \sf \dashrightarrow \: \pi {r}^{2}h [/tex]
[tex]\qquad \sf \dashrightarrow \: 3 \times ({2}^{2}) \times 12 [/tex]
[tex]\qquad \sf \dashrightarrow \: 3 \times 4 \times 12[/tex]
[tex]\qquad \sf \dashrightarrow \: 144 \: \: f {t}^{2} [/tex]
Volume of Rectangular prism : ( l = 10, w = 6, h = 6 )[tex]\qquad \sf \dashrightarrow \: l \times w \times h[/tex]
[tex]\qquad \sf \dashrightarrow \: 10 \times 6 \times 6[/tex]
[tex]\qquad \sf \dashrightarrow \: 3 60 \: \: ft {}^{2} [/tex]
Volume of whole object = sum of the volumes of Rectangular prism and Cylinder[tex]\qquad \sf \dashrightarrow \: 360 + 144[/tex]
[tex]\qquad \sf \dashrightarrow \: 504 \: \: ft {}^{2} [/tex]
brainliest if righttt
Answer: 4 in.
Multiply 2*2 = 4
Your answer is 4 in.
Hope this helps! :)
Brainliest please.
=========================================================
In order to find the diameter, we need to multiply the radius times 2, because the radius is one half ([tex]\displaystyle\frac{1}{2} }[/tex]) of the diameter.
We are given that the radius is:-
[tex]\bigstar{2~in}[/tex]
Multiply it times 2:-
[tex]\bigstar{4~in}[/tex]
Hence, the diameter is equal to:-
[tex]\bigstar{{\boxed{\pmb{4~ inches}}[/tex]
[Enter 4]
diameter: [tex]\boxed{4}[/tex] in.
===============================================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
KA AGAIN ( 2 pdfs)
correct answers only
Answer:
B
Step-by-step explanation:
To find the constant of proportionality between y and x, divide [tex]\frac{y}{x}[/tex] for all given values of the chart. If you get the same number, then that is the constant. If they are all different numbers, then one does not exist for that function.
Using the method above, you should get:
Chart A = 2/5
Chart B = 1/5 (Correct Answer!)
Chart C = N/A
Hope this helps!
Answer:
the answer is B
Step-by-step explanation:
Hope this helps
Please Help I'll give brainiest!! (answer quick please!!!!)
1) Which statement is correct for the graph of the specified function?
A) The minimum value of the quadratic function occurs at x = 0.
B) The maximum value of the quadratic function occurs at y = 0.
C) The x-values of the linear function increase as the y-values decrease.
D) The x-values of the linear function decrease as the y-values increase.
------
2) Which statement is correct for the graph of the specified function?
A) The rate of change for the linear function is 2.
B) The rate of change for the linear function is −1.
C) The maximum value of the quadratic function occurs at y = 4.
D) The minimum value of the quadratic function occurs at x = 4.
i know you need help urgen for this but this is just for a challenge i have to answer 5 questions by the end of today! im sorry if i got your hopes down on getting and answer but good luck!
Alan is decorating for a party. He wants one color of streamer, one type of flower,
and one color of tablecloth.
● The streamers can be red, blue, or yellow.
The flowers can be tulips, daisies, or roses.
● The color of the tablecloth can be plaid, striped, or solid.
How many possible combinations are there?
Answer:
OK I think that their is 9 options
Step-by-step explanation:
1.(red,tulips,plaid) 2.(red,daisies,striped) 3.(red,roses,solid)
4 .(blue,tulips,plaid) 5.(blue,daisies,striped) 6.(blue, roses,solid) 7.(yellow,tulips,plaid) 8.(yellow, daisies,striped) 9.(yellow, roses, solid)
Hope this somewhat helps :)
Of all the people at a community swimming pool, 54 are in the water and 66 are not in the water. What percentage of the people at the pool are in the water?
10%
45%
82%
55%
Answer: 45%.
Step-by-step explanation: When you solve problems like these, you need to make the total 100%. The total amount of people at the community pool is 120. 120 can be our 100%. 66 people aren't in the water and 54 are in the water. As you can see, less than half of the total number of people at the community swimming pool is in the water, which means that is 45%. The 66 people who aren't in the water are 55% of the total people that are at the community swimming pool. So in summary, 45% of the total people who are in the community swimming pool are in the water.
Have a great day! :)
In the figure, line e || line f. which statement is true.
Answer:
angle 3 is 70
ANGLE :> 3
IS.
70
#CARY ON LEARNINGHelp please!!!!! I have a pic
Answer:
90 bro
Step-by-step explanation:
35+55= 90
90+90=180
180 = every triangle
or
180-35-55=90
good luck
Choose the model for the problem 2/3 divided by 2.
4/6
1/6
1/3
2/3
2/3 : 2 = 2/3 x 1/2 = 2/6 = 1/3
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3}\div 2\\\\ \frac{2}{3} *\frac{1}{2} \\\\\frac{2}{6} \\\\\frac{1}{3}[/tex]
Hope this helps!
brainliest if it is right
Answer:
36 meters 75 meters and 2 times greater
Step-by-step explanation:
i just used a caculator.
Answer:
25= first
50= second
2= third/last
Step-by-step explanation:
KA EASY- correct answers only thx :)
Answer:
B C
Step-by-step explanation:
not gonna bother, by examination
What is the perimeter of the figure below?
40 mm
34 mm
88 mm
96 mm
Answer:
34 mm
Step-by-step explanation:
8+8+6+12=34 mm
draw a model of 1/ 2 divided 1 /4 brainliest on the line
Which statements describe the cell membrane? Check all that apply.
In physics, we can find the amount of force needed to push or pull an object by multiplying the object’s mass by the object’s acceleration. The units of force are called Newtons.
force = mass × acceleration
F = ma
Find the amount of force it takes to push Jeff’s race car if the mass of the race car is 750 kg and the acceleration is 2.5 StartFraction m Over s squared EndFraction
The amount of force needed to push Jeff’s race car is
Newtons.
Answer:
you can use the website called "Force Calculator" it will give you the answer, just enter the mass and the acceleration <3 :) good luck
Step-by-step explanation:
Find the solution to 1/9 / 3, using either the flip and multiply method or common denominator method. a. 3/27 b. 3/9 c. 27 d. 1/27 BRAINLIEST ON THE LINE
Let's see
[tex]\\ \rm\rightarrowtail 1/9/3[/tex]
[tex]\\ \rm\rightarrowtail 1/9(1/3)[/tex]
[tex]\\ \rm\rightarrowtail 1/9(3)[/tex]
[tex]\\ \rm\rightarrowtail 1/27[/tex]
Answer:
d 1/27
Step-by-step explanation:
Using the flip and multiply method:
[tex]\sf \dfrac{1}{\dfrac{9}{3}}[/tex]
[tex]\sf \implies \dfrac19 \div 3[/tex]
[tex]\sf \implies \dfrac19 \div \dfrac31[/tex]
[tex]\sf \implies \dfrac19 \times \dfrac13[/tex]
[tex]\sf \implies \dfrac{1 \times 1}{9 \times 3}[/tex]
[tex]\sf \implies \dfrac{1}{27}[/tex]
A car travels 2 5/8 miles in 3 1/2 minutes at a constant speed. Which equation represents the distance, d, that the car travels in m minutes?
A. d = 0.75 m
B. d = 1 1 3 m
C. d = 3.5 m
D. d = 2.625 m
Answer:
3.5
Step-by-step explanation:
2 5/8 mi=21/8mi 3/12min=7/2min 7/2 as a decimal is 3.5
The equation x^2 = d has how many real solutions when d > 0?
Answer:
2 real solutions
Step-by-step explanation:
d>0: two real solutions
D=0 one real solution
D<0: two complex (imaginary) solutions
Answer:
Step-by-step explanation:
This is a quadratic equation. All quadratic equations have two solutions. In this case, with d > 0, the two solutions / roots are real, one positive and one negative. To see this, take the square root of both sides of x² = d.
A triangle has one side that is 4 centimeters long and one that is 9 centimeters long. The third side is a whole number of centimeters. What is the shortest possible third side?
Answer:
6
Step-by-step explanation:
Using the Triangle Inequality Theorem, we can derive the range in which the third side, x. If you are having trouble with the theorem, it is that the sum of any two sides must be larger than the other side.
4 + 9 > x => x < 13
x + 4 > 9 => x > 5
x + 9 > 4 => x > -5
Combining all three equations gives us 5 < x < 13
Since the number is a whole number, the smallest whole number that satisfies the range is 6. The answer is 6.
Hope I helped!
Help Please!
I’m confuzzled!
Answer:
6[tex]n[/tex]
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor.
What is the difference in length between the longest and shortest pieces of ribbon?
Answer: B
Step-by-step explanation: have a great day pls brainliest
I'll give the brainiest. Help please
Answer:
First, set up equations for total cost for both Happy Paws and Woof Watchers.
x= number of hours
y= total cost
Happy Paws
y=3.50x +16
Woof Watchers
y=4.75x+11
4.75x+11=3.50x+16
x=4
You can check your answer by doing the following:
Happy Paws: (3.50)(4)+16= 30
Woof Watchers: (4.75)(4)+11= 30
Step-by-step explanation:
this is important
to meee help
Answer:
I'll help you! Answer is 3/2. It's Friday so most people aren't on Brainly doing homework lol
Step-by-step explanation:
The heaviest bag (far right) weighs 4.75 lbs, whereas the lightest bag (far left) weighs 3.25 lbs. As mixed numbers, these would be [tex]4\frac{3}{4}[/tex] and [tex]3\frac{1}{4}[/tex]. To find how much heavier the 4.75 lb bag is, you must subtract the 2 numbers.
Step 1. Convert each to a complex fraction[tex]4\frac{3}{4}[/tex] = [tex]\frac{19}{4}[/tex]
Numerator = (4 x 4) + 3 = 19Denominator = 4 (stays the same)[tex]3\frac{1}{4}[/tex] = [tex]\frac{13}{4}[/tex]
Numerator = (3 x 4) + 1 = 13Denominator = 4 (stays the same)Step 2. Subtract fractions like normal[tex]\frac{19}{4} - \frac{13}{4} =\frac{6}{4}[/tex]
[tex]\frac{6}{4} =\frac{3}{2}[/tex]
Final answer: 3/2 (Hope this helps!)help me now please thank you so much
Answer:
Step-by-step explanation:
6square-7(14-3square)
36-7(14-9)
36-7multiply by 5
36-45
=. -9
Gabrielle and Rob earn a total of $2,560 this week. With their total earnings from the week, Gabrielle buys 2 train tickets that cost $215.80 each, and Rob buys 2 suitcases that cost $36.50 each. Which statement is true?
A) Gabrielle and Rob have $ 2,055.40 of the $2 ,560 left because 2,560 − 2( 215.80 ) − 2(36.50 ) is equal to 2,055.4.
B)Gabrielle and Rob have $2,091.90 of the $2,560 left because 2,560−2(215.80)−36.50 is equal to 2,091.9.
C)Gabrielle and Rob have $2,271.20 of the $2,560 left because 2,560−215.80−2(36.50) is equal to 2,271.2.
D)Gabrielle and Rob have $2,307.70 of the $2,560 left because 2,560−215.80−36.50 is equal to 2,307.7.
Answer:
A
Step-by-step explanation:
215.80 + 215.80 = 431.60
36.50 + 36.50 = 73
431.60 + 73 = 504.60
2560 - 504.60 = 2055.40
The correct statement is:
Gabrielle and Rob have $2,055.40 of the $2,560 left because 2,560 − 2(215.80) − 2(36.50) is equal to 2,055.4.
Option A is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Gabrielle and Rob's total earnings for the week are $2,560.
If Gabrielle buys 2 train tickets that cost $215.80 each.
She spends a total of:
\$431.60 (2 x 215.80).
If Rob buys 2 suitcases that cost $36.50 each, he spends a total of:
$73 (2 x 36.50).
To find out how much money they have left, we need to subtract the amount spent on tickets and suitcases from their total earnings:
$2,560 - $431.60 - $73
= $2,055.40
Therefore,
The correct statement is:
Gabrielle and Rob have $2,055.40 of the $2,560 left because 2,560 − 2(215.80) − 2(36.50) is equal to 2,055.4.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ3
HELP ME PLEASE FAST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! DUE IN 4 MIN!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 66
Step-by-step explanation: Basically you want to find the area of the whole shape and the white shape, which the whole shape is 96 and the white shape is 30, and subtract 96-30=66
I like risking my points for hard homework
Answer:
The triangle and the square have the same area because they both have four squares
Step-by-step explanation:
The square has four that are easily shown but the triangle has one full one but when two are split together like some of them when you put the two together they equal one whole.
Have a wonderful day/night/afternoon
The variables x and y have a proportional relationship, and y=7 when x=2.
Which equation represents this relationship?
y=9x
y=27x
y=72x
y=14x