Answer:
Interest earned = $3546.50
Option B is correct option.
Step-by-step explanation:
Time t = 20 years
Principal Amount P =$3815.24
Interest r = 3.3% or 0.033
Compounded quarterly n = 4
We need to find How much interest has Lucas earned?
First we need to find the future value in the account after 20 years
The formula used to find future value A is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting values of t, r , n and P to find A i.e future value
[tex]A=P(1+\frac{r}{n})^{nt}\\A=3815.24(1+\frac{0.033}{4})^{20*4} \\Simplifying:\\A=3815.24(1+0.00825)^{20*4} \\A=3815.24(1.00825)^{80}\\A=3815.24(1.929)\\A= 7361.74[/tex]
Now finding interest amount by subtracting the initial deposit from the future value
Interest earned = Future Value (A)- Initial Deposit (P)
Interest earned = 7,361.74 - 3815.24
Interest earned = 3546.50
So, Lucas have earned interest = $3546.50
Option B is correct option.
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Solving Real-World Problems involving Rational Numbers: Mast Submit Test
Tools
Info
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
A rectangle is 12 feet long and 5 feet wide. If the length of the rectangle is increased by 25% and the width is decreased by 20%, what is the change in
the area of the rectangle?
The change in the area of the rectangle is
square feet
Reset
Next
No change in area
Step-by-step explanation:
The area is 60 square feet for both rectangles.
Answer:
0 square feet
Step-by-step explanation:
i got it right
Who ever Answers first gets a good review
Answer:
Do we do all of them???
Step-by-step explanation:
please awnser asap number1
Answer:
[tex]a_3=22[/tex]
Step-by-step explanation:
Given that,
a₁ = 10
[tex]a_n=a_{n-1}+6[/tex]
We can find second term first.
[tex]a_2=a_{2-1}+6\\\\=a_1+6\\\\=10+6\ (Given\ a_1=10)\\\\=16[/tex]
We need to find the third term of the above sequence. Put n = 3 in the above sequence as follows :
[tex]a_3=a_{3-1}+6\\\\=a_2+6[/tex]
Put a₂ = 16
[tex]a_3=16+6\\\\=22[/tex]
Hence, the third term of the sequence is 22.
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations and inequalities about the y-axis.x2 - y2 = 64, x \geq 0, y = -8, y = 8
Answer:
The Volume of the solid
V = π(1365.33) cubic units
Step-by-step explanation:
Step(I):-
Given curves are x²- y² = 64 , x=0 , y=-8 and y=8
The given function x = f(y)
x²- y² = 64
x² = y² +64
The Volume of the solid generating by revolving the region bounded by the graphs of the equations
[tex]V = \pi \int\limits^a_b {x^2} \, dx[/tex]
Step(ii):-
the limits are y = a = -8 and y = b=8
The Volume of the solid
[tex]V =\pi \int\limits^8_8 {(y^2+64)} \, dx[/tex]
[tex]V = \pi (\frac{y^{3} }{3} + 64 y )_{-8} ^{8}[/tex]
[tex]V = \pi (\frac{(8)^{3} }{3} + 64 (8) - (\frac{(-8)^{3} }{3} +64(-8) )[/tex]
[tex]V = \pi (\frac{(8)^{3} }{3} + 64 (8) - (\frac{(-8)^{3} }{3} +64(-8) ) = \pi (\frac{1024}{3} + 1024)[/tex]
V = π(1365.33) cubic units
2.865 in expanded form
Answer: 2.865
Step-by-step explanation:
3b - 2a -9 when a =1/2 and b= 7
Answer: 11
Step-by-step explanation:
1. Evaluate 2a when a = 1/2
2a
2 x (1/2) = 1
2. Evaluate 3b when b = 7
3b
3x7 = 21
3. Put the pieces of the expression back together
21 - 1 -9
4. Solve
11
8 Susie has 1 cup of ice cream. How many 9 4 cup servings can she make? 0 alo c 9 32 G over 8 0012 15
Answer: c. 3 and 5 over 9
Step-by-step explanation:
There is a 8/9 cup of ice cream. The number of 1/4 cup servings that can be made from this is:
= 8/9 ÷ 1/4
= 8/9 * 4/1
= 32/9
= 3⁵/₉ cups
I need help with this question, PLEASE!!!
Answer:
Where is point D??? I believe its IV, the others would not make sense.
Step-by-step explanation:
Calculate the federal income taxes. In 1980, the federal income tax was 14 percent on incomes between $2,300 and $3,400 per year, 16 percent
on incomes between $3,400 and $4,400 per year, and 21 percent on incomes between $8,500 and 10,800 per year. In 1980, you made $3,000.
What was your income tax this year?
O $42.00
O $420
$480
$630
Answer: 420
Step-by-step explanation: 14 percent of 3000 is 420
Correct Answer: $420
give two ways to write the expression as a phase for n+6
ahdjfvjxbxnxjzjsjnsmsnsns
Answer:
b sorry if wrong
Step-by-step explanation:
Out of the 482 employees at the Coca-Cola plant, 37 are taking vacation next week. What percentage of employees are NOT vacationing?
Answer:
92.32%
Step-by-step explanation:
482-37=455 (not vaationig)
445/482=0.9232
0.9232*100=92.32%
Convert the expression to exponential form
4.4.4.4.4
Answer:
4^5 (the 5 is the exponent)The exponential form of expression is 4⁵.
What is exponential form?To grow at an ever-increasing rate is referred to as exponential growth. On the other hand, it is a mathematical expression with one or more exponents in mathematics. As a result, we call it an exponential form.
We can say that something might grow at an exponential rate if it grows faster and faster as the thing being discussed gets bigger.
Given expression
4.4.4.4.4
Writing a number as the product of its prime factors is the very first step in expressing it in exponential form.
number is in factors
4 x 4 x 4 x 4 x 4
a numerical term that has been increased to certain powers of its prime factors
= 4⁵
where 5 is exponent.
Hence the exponential form is 4⁵.
Learn more about exponential form;
https://brainly.com/question/29287497
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what is the graph of f(x) = x
Answer:
(0,0) and (1,1)
Step-by-step explanation:
What is 6 Fahrenheit in celcious
In the accompanying diagram of AABC, DE is parallel to BC. If AD = 3, DB = 6, and DE = 5, what is the length of BC?
Answer:
BC = 23.8
Step-by-step explanation:
please answer asap no trolls!
Answer:
SAS
Step-by-step explanation:
The triangles have the same angle and two sides.
Please mark me brainliest if this helped. :)
Simplify the given polynomial expressions, and determine the degree and number of terms in each expression
Answer: What is the "given polynomial expressions?"
How to divide with partial quotiants?
Answer:
You can search it up on Gxogle! It will tell you step by step.
"Step 1: Write a list of easy facts for the divisor.
Step 2: Subtract from the dividend an easy multiple of the divisor (e.g. 100x, 10x, 5x, 2x). Record the partial quotient in a column to the right of the problem.
Step 3: Repeat until the dividend has been reduced to zero or the remainder is less than the divisor."
I hope this helped!
Write the ratio of the first measurement to the second measurement. Compare in millimeters.
diameter of ball A:30mm
diameter of ball B: 5.7 cm
The ratio of the diameter of ball A to the diameter of ball B is-
Answer:
The ratio of the diameter of ball A to the diameter of ball B is 10:19.
Step-by-step explanation:
Ratios
A ratio is a relation between two quantities and it's calculated as a division. For example, the ratio between 8 and 4 is 8:4 = 8 / 4 = 2.
We are given the diameters of two balls as follows:
The diameter of the ball A=30mm
The diameter of the ball B=5.7 cm = 57 mm
The ratio of the diameter of ball A to the diameter of ball B is 30:57. Dividing both numbers by 3, we have: ratio=10:19
The ratio of the diameter of ball A to the diameter of ball B is 10:19.
(2a^-2)(3a^3b^2)(c^-2)
Answer:
Step-by-step explanation:
us
Solve for x using the
distributive property.
8(4 + 2x) = 16
Answer: x=-1
Step-by-step explanation:
Do 8(4) + 8(2x)=16 to use the distributive property. You should get 32+16x=16. Then, subtract 32 from both sides of the equation and you will get 16x=-16. Finally, divide both sides of the equation by 16 and you will get you answer, x=-1. Hope I helped.
HELPPPP 69 POINTS!!!!
△FGH is translated up 2 units to form the image ∆F′G′H′.
What are the coordinates of the vertices of ∆F′G′H′ ?
Enter your answer by filling in the boxes.
F′ = ( , )
G′ = ( , )
H′ = ( , )
Answer:
I hope the Picture Helps!
Step-by-step explanation:
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The required coordinates of the vertices of ∆F′G′H′ is F' = (-5, 2), G'= (0, 2), and H' = (0, 6).
What is coordinate?Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.
As mentioned in the question, a given triangle on coordinate axes translated 2 units up. The term "2 unit up" implies that each ordinate of the coordinates of the triangle is increased by 2 units,
So the trasformation equation for the triangle is given as,
(x, y) ⇒ (x, y+2)
Now, the coordinates of the vertices of ∆FGH,
F = (-5, 0), G= (0, 0) H = (0, 4)
After the trasformation coordinate of ∆F′G′H′
F' = (-5, 0 + 2), G'= (0, 0 + 2) H' = (0, 4 + 2)
F' = (-5, 2), G'= (0, 2) H' = (0, 6)
Thus, the required coordinates of the vertices of ∆F′G′H′ is F' = (-5, 2), G'= (0, 2), and H' = (0, 6).
Learn more about coordinate here:
brainly.com/question/13498438
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The relationship between two quantities that increase or decrease together is called ______.
A.
indirect variation
B.
variation
C.
direct option
D.
indirect option
E.
direct variation
Answer:
the relationship between two quantities that increase or decrease together is called Direct variation or positive corrilation.Answer:
indirect variation
Step-by-step explanation:
in thhe process of when one derease other will also increase .that means that the veraible change in same ratio
Solve for the missing variable(s) and SHOW ALL WORK
Answer:
x = 4
Step-by-step explanation:
From the picture attached,
By using mean ratio theorem in the given triangle,
[tex]\frac{AC}{BC}=\frac{BC}{CD}[/tex]
AC × CD = (BC)²
(x + 5)x = (x + 2)² [Since, AC = AD + CD]
x² + 5x = x² + 4x + 4
5x = 4x + 4
5x - 4x = 4
x = 4
Therefore, x = 4 will be the answer.
Music Magic offers live streaming for $9.99 a month, with downloads at $0.50 a song. You have $30 a month budgeted for this service. The equation 0.5s + 9.99 = 30 describes the situation. The solution to this equation is s = 40.02. Explain what this means in terms of service.
Step-by-step explanation:
$30 a month budget includes:
$9.99 monthly fee$20.01 to download songs, each for $0.50, this makes $20.01/$0.50 = 40.02 songs. So we can download 40 songs with this service.NEED HELP ASAP WILL GIVE BRAINLIEST
Answer:
C
Step-by-step explanation:
I used the formula. it took a long but i got it! Brainly pls!
2% Drug
3% Mass Merchants
11%
Vending
Stores
16% Gąs
Stations
24% Fountain
44% Grocery
Stores
Based on the pie chart, the four largest locations for soft drink sales
account for approximately what percentage of total soft drink sales in
the year under consideration?
Answer: 95%
Step-by-step explanation:
With the information provided, the four largest merchants are Grocery Stores, Fountain, Gas Stations, and Vending Stores.
These stores each make up 44%, 24%, 16%, and 11%, respectively.
The sum of these percentages is 95%. Thus, the four largest locations for soft drink sales make up 95% of soft drink sales.
Corbin is selling cheese at the farmers’ market. One wheel of cheese has a diameter of 11 inches.
Part A Calculate the area of the wheel of cheese. Use 3.14 for π.
Part B
If the 11-inch wheel of cheese costs $21.35, what is the cost per square inch?
Pls help me, I’m desperate lm.ao
its been so long and no one is answering ??? xD
Answer:
I. 94.99 in²
II. $0.23
Step-by-step explanation:
Given the following data;
Diameter of wheel = 11 inches
[tex] \pi = 3.14[/tex]
Cost of wheel = $21.35
[tex] Radius, r = \frac {diameter}{2} [/tex]
[tex] Radius, r = \frac {11}{2} = 5.5 \; inches [/tex]
Part A
To find the area;
We know that a wheel is circular in nature. Thus, the area of a circle is given by the formula;
[tex] Area, A = \pi r^{2} [/tex]
Substituting into the equation, we have;
[tex] Area, A = 3.14 * 5.5^{2} [/tex]
[tex] Area, A = 3.14*30.25[/tex]
Area, A = 94.99 in²
Part B
To find cost per square inch;
[tex] Cost \; per \; square \; inch = \frac {Cost \; per \; wheel}{Area \; of \; wheel} [/tex]
[tex] Cost \; per \; square \; inch = \frac {21.35}{94.99} [/tex]
Cost per square inch = $0.23
can somebody pls help