ok, my let’s try this again. can someone please help fill out the ? for this table.
Answers
Answer:
60 months
$9,000
4.6%
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{6.5cm}\underline{Simple Interest Formula}\\\\$ A = P(1 + rt)$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]
Given:
A = $5,000P = $4,000r = 5% = 0.05Substitute the given values into the formula and solve for t:
[tex]\implies 5000=4000(1+0.05t)[/tex]
[tex]\implies \dfrac{5000}{4000}=1+0.05t[/tex]
[tex]\implies1.25=1+0.05t[/tex]
[tex]\implies 0.05t=1.25-1[/tex]
[tex]\implies 0.05t=0.25[/tex]
[tex]\implies t=\dfrac{0.25}{0.05}[/tex]
[tex]\implies t=5\; \rm years=60\; months[/tex]
Given:
A = $11,160r = 8% = 0.08t = 36 months = 3 yearsSubstitute the given values into the formula and solve for P:
[tex]\implies 11160=P(1+0.08 \cdot 3)[/tex]
[tex]\implies 11160=P(1.24)[/tex]
[tex]\implies P=\dfrac{11160}{1.24}[/tex]
[tex]\implies P=\$9000[/tex]
Given:
A = $3,207P = $3,000t = 18 months = 1.5 yearsSubstitute the given values into the formula and solve for r:
[tex]\implies 3207=3000(1+r \cdot 1.5)[/tex]
[tex]\implies \dfrac{3207}{3000}=1+1.5r[/tex]
[tex]\implies 1.069=1+1.5r[/tex]
[tex]\implies 1.5r=1.069-1[/tex]
[tex]\implies 1.5r=0.069[/tex]
[tex]\implies r=\dfrac{0.069}{1.5}[/tex]
[tex]\implies r=0.046[/tex]
[tex]\implies r=4.6\%[/tex]
Therefore, the completed table is:
[tex]\begin{array}{|c|c|c|c|}\cline{1-4} \vphantom{\dfrac12} \rm BALANCE & \rm PRINCIPAL & \rm INTEREST \; RATE & \rm TIME \\\cline{1-4} \vphantom{\dfrac12} \$5,000 & \$4,000 & 5\% & \rm 60 \; months\\\cline{1-4} \vphantom{\dfrac12} \$ 11,\!160 & \$9,000 & 8\% & \rm 36 \; months \\\cline{1-4} \vphantom{\dfrac12} \$3,207 & \$3,000 & 4.6\% & \rm 18 \; months\\\cline{1-4} \end{array}[/tex]
Related Questions
If x and y are in direct proportion and y is 45 when xx is 15, find y when x is 4.
Answers
Answer:
y = 12
Step-by-step explanation:
the equation is
y = 3x
You find the constant or proportionality by put y/x
(15,45) is in the form (x,y) The x is 15 and the y is 45. Put this in the form y/x and you get 45/15 or 3. 3 is the constant of proportionality.
y = 3x
y = 3(4)
y = 12
thats the answerr
Kayleen buys one 3 -pound bag of cat food. Her cat eats about 3/4 of a pound every week. How many weeks does one bag last?
Answers
3 × 4/3 (keep, change, flip)
12/3 = 4 weeks is the answer
Hope this helps :)
Answer: 4 weeks
Step-by-step explanation:
To find the answer to this question, we will divide 3 by 3/4 to find the number of weeks one bag will last.
3 / (3/4) = 3 * (4/3) = 12/3 = 4 weeks
One 3 -pound bag will last the cat 4 weeks.
In which expression is the number 3 expressed as a coefficient of a variable?
Group of answer choices
3 - y
3 + y
7y + 3
3y + 1
Thx!
Answers
Answer: 3y+1
Step-by-step explanation:
Answer: The correct answer is d 3y+1
Step-by-step explanation:
Need answer by today
Answers
Answer:
980 feet per minute
Step-by-step explanation:
Pls help like asap this is due be4 after break!
Answers
Answer:
Step-by-step explanation:
order of operations parentheses first!
so 4(6k+4) = (4x6)k + (4x4)
which gets you to
5k + 24k + 16 - 29k = 16
simplified down to
29k + 16 -29k = 16
the answer is 16 = 16 the 29k’s cancel out
hope that helped
Kayleen buys one 3 -pound bag of cat food. Her cat eats about 34 of a pound every week. How many weeks does one bag last?
Answers
Find the slope (in reduced form) between the points (4, –6) and ( –2, 8).
Answers
8-(-6)=14
-2-4=-6
=14/-6
simplified:
-7/3
8-(-6)=14
-2-4=-6
=141-6 simplified:
-7/3
THANKS! O
COMMENTS
18 is 40% of what number?
Group of answer choices
7.2
40
18
45
thx!
Answers
Answer:
45
Step-by-step explanation:
40/100=18/x
40x=100(18)
40x=1800
/40. /40
x=45
hopes this helps
Answer: 45
Step-by-step explanation:
8 = 40% × Y
18 = 40/100× Y
Y = 18 × 100 ÷ 40
y=1800/40
y=45
Find the y-intercept of the line that passes through the point (6, –1) with a rate of change of −3/5
Answers
Answer:
the y-int is 2.6 or 13/5
Step-by-step explanation:
y=mx+b
-1=-3/5(6)+b
-1=-18/5+b
b=2.6 or b=13/5
-1=-3/5(6)+b
-1=-18/5+b
since why is a negative add 1 to make it 0 then that will cancel out then add that to -18/5 which would be -3.6 because that how much times 5 goes into 18. -3.6+1= -2.6 So your answer would be -2.6 or -13/5
What does the expression opposite of yi ÷m help you find? select all that apply.
Responses
Answers
Answer:
The correct answer for this is:
a zero
A circle has a radius of 7 centimeters (cm).
What is the approximate area of the circle?
Use the approximation of 22/7 for π in your calculations.
Answers
Answer:
154 cm
Step-by-step explanation:
the formula for the area of a circle is: [tex]\pi r^{2}[/tex]
Instead of [tex]\pi[/tex] we will use [tex]\frac{22}{7}[/tex]
[tex]\frac{22}{7} . (7)^2\\\\\frac{22}{7} . 49\\\\22 . 7 = 154\\[/tex]
Length: 2 and 1 over 4 feet
Width: 1 foot
Height: 1 and 1 over 4 feet
The lengths of the sides of a small cube are 1 over 4 foot each.
Part A: How many small cubes can be packed in the rectangular prism? Show your work. (5 points)
Part B: Use the answer obtained in part A to find the volume of the rectangular prism in terms of the small cube and a unit cube. (10 points)
Answers
Answer: 84 cubes
Step-by-step explanation: Given, The dimension of the rectangular prism are, 1 1/3 ft. * 1 * 2 1/3 = 4/3 * 7/3 = 28/9 cube ft.
Now, the volume of a cube = side³, if side = 1/3 ft., Then the volume of each cube, V = (1/3)³ = 1/27 cube ft.
Hence, the number of cubes that can be packet in the prism = V/V1 = 28/9 / 1/27 = 27*28/9 = 3 * 28 = 84
A) The number of small cubes which can be packed in the rectangular prism are 180.
B) The volume of the rectangular prism in terms of the small cube and a unit cube will be 180 units³
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
Length = 2 1/4 feet
Width = 1 feet
Height = 1 1/4 feet
And, The lengths of the sides of a small cube are 1 /4 foot each.
Now,
Since, The volume of rectangular prism = Length x width x height
Substitute all the values, we get;
⇒ The volume of rectangular prism = 2 1/4 × 1 × 1 1/4
= 9/4 × 1 × 5/4
= 45/16 ft³
= 2.81 ft³
And, The Volume of one cube = Side³
Here, The length of side of cube = 1/4 feet = 0.25 feet
Hence, The Volume of one cube = Side³
The Volume of one cube = 0.25³
The Volume of one cube = 0.015625 ft³
So, The number of small cubes that can be packed in the rectangular prism = Volume of rectangular prism / Volume of cube
= 2.81 /0.015625
= 180
B) The length, the width and the height of the rectangular prism in term of units cubes is:
Length = 2 1/4 feet / 0.25 feet = 2.25 / 0.25 = 9 units
Width = 1 feet / 0.25 feet = 4 units
Height = 1 1/4 feet / 0.25 feet = 1.25 / 0.25 = 5 units
So, The volume of the rectangular prism in terms of the small cube and a unit cube is,
Volume = 9 x 4 x 5
= 180 units³
Learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ1
Evaluate the following numerical expression:
(15 ÷ 3)to the power of 2 + 9 ÷ 3
Group of answer choices
-5
-13
-11.3
-28
Thank u I appreciate it!
Answers
Answer: 13
Step-by-step explanation:
use PEMDAS
(15 ÷ 3)2 + 9 ÷ 3=
(5)2+9/3
10+3
13
A movie theater has 940 seats. Tickets were sold for 846 of the seats. For what percent of the seats were tickets sold?
(Please show work)
Answers
Answer:
90%
Step-by-step explanation:
trust me i used a calculator
Explanation: 846 divided by 940 =0.9x100=90
please help!!!!!!!!!!!!!
Answers
pls help me, this is due tomorrow and i need to show my work but i don’t know how
Answers
6/7 equals 18 over Y +15
Y= 3
Y=13
Y= 6
Y= 3.2
Answers
Answer:
[tex]y = 6[/tex]
Step-by-step explanation:
[tex]6(y + 15) = 126 \\ y + 15 = 21 \\ y = 21 - 15 \\ y = 6[/tex]
Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.
A= $8
B= $10
C= $100
Answers
8x + 10 <= 100
To solve the inequality, first get x by itself by subtracting 10 from both sides to get 8x <= 90, then divide both sides by 8 to get x <= 11.25
That means that whatever x is is no more than 11.25, but either less than or equal to it.
(X depends on the word problem)
In the triangle ABC, AB = 13cm, BC =10cm and angle BAC = 30degrees
Find the two possible sizes of angle ABC, giving your answers to two decimal places.
Answers
Answer:
109.46° and 10.54°
Step-by-step explanation:
Attached in the image.
Hope it helps :)
The data shows how many videos were rented for a forty-day period. Which table matches the information data that was collected?
Answers
Identify all of the expressions that can be used to find the slope of a linear function.
Answers
Answer:
Step-by-step explanation:
it will be AB
The formula for finding the volume of a cube is V = s to the power of 3, where s is the length of the side of the cube. Terrance has a cube that measures 3 inches long along each side. What is the volume of the cube? _______________inches3 ( just write the number)
Thx!
Answers
Answer: 27
Step-by-step explanation:
formula: v=[tex]s^{3}[/tex]
v=[tex]3^{3}[/tex]
[tex]3^{3}[/tex]=3*3*3
3*3=9
3*9=27
Answer: the correct answer is 27 I believe
Step-by-step explanation:
I NEED THIS ANSWER ASAP PLEASE <33
What is the value of the expression below when
x = 3 and y = 5?
x = 9y ?
Answers
Answer:
x = 9y
3 = 9 × 5
3 = 45
0 = 45 - 3
0 = 42
Step-by-step explanation:
First of all, write the values of x and y respectively. Then do the DMAS. When there is equal to sign between two numbers then you can bring on number to the other side of equal to sign with the sign changed. Then you get your answer
Answer:
When x= 3, then y= 1/3 and When y= 5, then x= 45
Step-by-step explanation:
3 = 9y
3/9 = y
1/3 = y
and
x = 9 * 5
x = 45
I'LL GIVE BRAINLIEST!!
( True / False ) Force is used in aristocracy.
If true how?
If false why?
Answers
Answer:
true
Aristocracy is a form of government in which political power is held by a select few privileged people called aristocrats or nobles. Coming from a Greek word meaning “rule by the best,” aristocrats are considered the most qualified to rule because of their moral and intellectual superiority.
please help!!!!!!!!!!!!!!!!1
Answers
Step-by-step-solution:
d+6c when d=5, c=4
We can rewrite this as:
5+6(4)
Since 6 is being multiplied by c, which is 4, and d=5
Now we can solve:
5+24
=29
6 times 4 is 24, and then you just have to add 5, which gets you 29.
Hope this helped!
Answer: 29
Step-by-step explanation: We first replace the variables with the numbers so it turns into 5 + 6 x 4 and according to the order of operations we do 6 x 4 first which is 24 and then we do 5 + 24 which is 29.
7.67 is what fraction of 23
Answers
Answer:
2.99869621904
Step-by-step explanation:
23/7.67=2.99869621904.
23/2.99869621904=7.67
I hope this helped!
Answer:
7.67 = 767
100
= 767
100
as a fraction
Step-by-step explanation:
Need Answered ASAP. Find the difference between (1.4 × 10^8) and (5.7 × 10^7). Write the final answer in scientific notation.
−4.3 × 10^1
4.3 × 10^−1
8.3 × 10^8
8.3 × 1067
Answers
Answer:
-4.3 x10-1
Step-by-step explanation:
answer.,...............
what is the transformation of f(x)=|x| to g(x)=-4|x-2|-1
Answers
Answer:
Step-by-step explanation:
Parent Function:
f
(
x
)
=
|
x
|
f
(
x
)
=
|
x
|
Horizontal Shift: Right
2
2
Units
Vertical Shift: Down
1
1
Units
Reflection about the x-axis: Reflected
Vertical Stretch: Stretched
Which equation is equivalent to this proportion? Select all that apply.
Answers
Answer:
250y = 800
Step-by-step explanation:
[tex]\frac{8}{250}[/tex] = [tex]\frac{y}{100}[/tex] Cross multiply
250y = 800
Answer:
A) 250y = 800
Step-by-step explanation:
Given equation:
[tex]\dfrac{8}{250}=\dfrac{y}{100}[/tex]
Cross multiply by multiplying the numerator and denominator of the first fraction by the denominator of the second fraction, and multiplying the numerator and denominator of the second fraction by the denominator of the first fraction:
[tex]\implies \dfrac{8 \times 100}{250\times 100}=\dfrac{y \times 250}{100 \times 250}[/tex]
Simplify:
[tex]\implies 8 \times 100 = y \times 250[/tex]
[tex]\implies 800=250y[/tex]
[tex]\implies 250y=800[/tex]
A builder buys 29.5 acres of land to develop a new community of homes and parks.
The builder plans to use 0.75 of the land for a park. How many acres will he use for the park?
Answers
the total land is 29.5, and the builder uses 75% of the land for a park. which u would multiple 29.5 by 0.75, 29.5x0.75=22.125