Answer:
$126
Step-by-step explanation:
We solve using Compound Interest formula
For Matthew
Matthew invested $4,700 in an account paying an interest rate of 3 3/8% compounded monthly.
P = $4700
R = 3 3/8 % = 3.375 %
t = 14 years
n = Compounded Monthly = 12
Hence,
First, convert R as a percent to r as a decimal
r = R/100
r = 3.375/100
r = 0.03375 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 4,700.00(1 + 0.03375/12)^(12)(14)
A = 4,700.00(1 + 0.0028125)^(168)
A = $7,533.80
For Peyton, we are using a different compound interest formula because it is compounded continuously
Peyton invested $4,700 in an account paying an interest rate of 3 1/4%
compounded continuously.
P = $4700
R = 3 1/4 % = 3.25%
t = 14 years
n = Compounded continuously
First, convert R as a percent to r as a decimal
r = R/100
r = 3.25/100
r = 0.0325 rate per year,
Then solve the equation for A
A = Pe^rt
A = 4,700.00e^(0.0325)(14)
A = $7,408.01
After 14 years, the amount of money Matthew would have in his account than Peyton, to the nearest dollar is calculated as:
$7,533.80 - $7,408.01
= $125.79
Approximately = $126 to the nearest dollar
Answer:
126
Step-by-step explanation:
126 to the nearest dollar
Divide 5/9 round to the nearest tenth
Answer:
0.55
Step-by-step explanation:
5 divided by 9 = 0.55
Answer:
0.6
Step-by-step explanation:
5/9=0.55555555555...
since the hundredth digit is a 5 you round up to 0.6
pls help me with this question guys, no links pls, thank you very much
Answer:
29.4
Step-by-step explanation:
mC = 180 - 46 - 105 = 29
By Law of Sines: c/sin C = a/sin A
19.8/sin 29° = a / sin 46°
19.8/0.484 = a/0.72
a = 29.45 ≈ 29.4
Use the distributive property to remove the parentheses.
- 4(5u - 3y-1)
Answer:
-20u + 12y + 4
Step-by-step explanation:
We have the equation -4(5u - 3y - 1) and are asked to use the distributive property to remove the parenthesis.
When using the distributive property, you have to multiply the number outside the parenthesis to all numbers inside the parenthesis, do as followed :
-4(5u - 3y - 1)
(5u(-4) -3y(-4) -1(-4))
-20u + 12y + 4
Brianna's teacher asks her which of these three expressions are equivalent to each other. which is equivalent
Answer:
Please specify what the three expressions are.
Step-by-step explanation:
From what I understand, you need to set the expressions equal to each other. For instance, if one is 2(x-3) and the other is 2x-6, you could write it as:
[tex]2(x-3)=2x-6[/tex]
Then, by evaluating it, you would get:
[tex]2x-6=2x-6[/tex] by distribution over subtraction.
[tex]2x-6+6=2x-6+6[/tex] by the additive property of equality
[tex]2x=2x[/tex] Simplify.
[tex]x=x[/tex] by the reflexive axiom.
Since x will always equal itself, 2(x-3) and 2x-6 are equivalent.
Therefore, if the expressions, once set equal to each other, result in the equation x=x, or any other expression in which one quantity equals itself, the two expressions are equal.
Sorry I could not be of more help, but you did not specify what the expressions were.
Solve
7+x/3 = 2x-5
Give all working out
please do my question u get more points if the answer is right. if inappropriate you get reported NO LINKS and please EXPLAIN
Answer:
600
Step-by-step explanation:
Well, first you need to make a proportion which will be [tex]\frac{x}{6,000} = \frac{10}{100}[/tex]
x is what we need to find
6,000 is the total people who voted
10% is the percent of 18 to 29 years old
and 100% represents the circle graph because all circle graphs equal 100%
First, we use the cross multiply method, for instance, 6,000×10=60,000
Next, divide 60,000÷100 which is 600.
Therefore there are 600, 18 to 29 year olds who voted in the election.
In an examination, a student has to secure 40% marks to pass. Rahul gets 178 marks and fails by 32 marks. What are the maximum marks? Please explain in step-by-step procedure.
Answer:
210
please I beg of you if I'm wrong tell me I will try it out again it is just that I've never come across such a question so I just had the idea to try it have a good day.
f) –5 – 3( x + 1 ) = –( –4x + 1)
Answer:
x = - 1
Step-by-step explanation:
Given
- 5 - 3 (x + 1) = - (- 4x + 1) ← distribute parenthesis on both sides
- 5 - 3x - 3 = 4x - 1
- 3x - 8 = 4x - 1 ( subtract 4x from both sides )
- 7x - 8 = - 1 ( add 8 to both sides )
- 7x = 7 ( divide both sides by - 7 )
x = - 1
Teresa is investing $20,000 in an account with 4.3% interest rate that is compounded monthly. How much money will she have if she takes her money out after 8 years?
Answer:
Teresa will have $28,200 if she takes her money out after 8 years.
Step-by-step explanation:
To be able to find the answer, you have to use the formula to calculate the future value:
FV=PV(1+i/n)^(n*t)
FV=future value
PV=present value= $20,000
i=interest rate= 0.043
n=number of compounding periods per time unit= 12
t=time in years= 8
Now, you can replace the values on the formula:
FV=20,000*(1+(0.043/12)^(12*8)
FV=20,000*1.41
FV=28,200
According to this, the answer is that Teresa will have $28,200 if she takes her money out after 8 years.
6_7/8 + 9_5/16 pls help
Answer:
it is 16_3/6
Step-by-step explanation:
basic addition.
I NEED HELP I AM DESPERATE PLEASE JUST HELP ME
THE AREA IS ___ SQUARE UNITS
Answer:
50 units
Step-by-step explanation:
First find the length and width by using distance formula.
QR = Square root of 25 =5
RS = Square root of 100 =10
Area = 10×5 = 50
Min has a shelf filled with books. The books have different thicknesses. This line plot shows the thickness of each book. He piles the four thickest books on top of each other. How thick is the pile?
Answer:
[tex]$2\frac{1}{4} \ inch$[/tex]
Step-by-step explanation:
We have the four thickest books from the line plot given by
Two books of [tex]$\frac{1}{2}$[/tex] inch thick and the two books of [tex]$\frac{5}{8}$[/tex] inch thickness.
So when the two [tex]$\frac{1}{2}$[/tex] inch thick book is being piled on the top of a [tex]$\frac{5}{8}$[/tex] inch thick books.
Therefore, the total thickness of the pile of books is given by :
[tex]$=2 \times \frac{1}{2}+2 \times \frac{5}{8}$[/tex]
[tex]$=\frac{9}{4}$[/tex]
[tex]$=2\frac{1}{4} \ inch$[/tex]
Therefore, the thickness of the pile is [tex]$2\frac{1}{4} \ inch$[/tex] .
The addition is one of the four fundamental mathematical operations. The thickness of the pile is 4.75 inches.
What is Addition?The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.
As per the given graph, the top four thickest books are:
2 books of thickness 1 1/8 inches2 books of thickness 1 1/4 inchesTherefore, the thickness of the pile is the sum of the thickness of the four books.
[tex]\text{The thickness of pile} = 1\frac18 +1\frac18 + 1\frac14 + 1\frac14\\[/tex]
[tex]= \dfrac98 +\dfrac98 + \dfrac54 + \dfrac54\\\\= 4.75[/tex]
Hence, the thickness of the pile is 4.75 inches.
Learn more about Addition:
https://brainly.com/question/14092461
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Rowenas new kitten weights 12 times as much as her hamster. The conbines weight of the kitten and thw hamster is 468 grams. What is the weight of the kitten
Answer: 36
Step-by-step explanation: 36x12=432
432+36=468
which representation does NOT show y as a function of x
work out giving your answer as a mixed number 4 1/6 + 2 3/4
The answer in the mixed fraction form is 6¹¹/₁₂
What is a mixed fraction?A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, and 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.
Given here, 4¹/₆+ 2³/₄ = 25/6 + 11/4
= 50+33 / 12
= 83/12
= 6¹¹/₁₂
Hence the answer in mixed fraction is 6¹¹/₁₂
Learn more about mixed fraction here:
https://brainly.com/question/29264210
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Research studies show that the relationship between the tire pressure of a vehicle's tires and the life of the tires is
quadratic. The following table shows the recommended tire pressure of a car's tires (in pounds per square Inch) and its
anticipated tire life in thousands of miles),
Tire Pressure Tire Life
29
46.8
32
57,6
34
58.8
36
60.0
38
58.8
AN
570
52,8
Use a graphing or online regression calculator to find the quadratic function of best it for this set of data, What is the
value of a in this function?
o
Answer:c
Step-by-step explanation:
What is angle m1 and angle m2?
Answer:
1) 122 2)58
Step-by-step explanation:
Answer:
m1 = 122°
m2 = 58°
Step-by-step explanation:
angle 1 = 122° rule of vertical angles
180° -122° = 58°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
A restaurant has 50 tables.
40% of the tables have 2 chairs at each table.
The remaining 60% of the tables have 4 chairs at each table.
Complete the model.
Then complete the statements to find the total number of chairs in the restaurant.
Answer:
160
Step-by-step explanation:
In 1920, a woman had 4 daughters. In 1950, each daughter had 3 daughters. In 1980, each of their daughters had 3 daughters. Finally, in 2010, each of their daughters had 3 daughters.
How many daughters were born in 2010? Explain how you determined your answer.
Answer:
108
I determined my answer by multiplying 4 x 3 x 3 x 3 = 108
Step-by-step explanation:
daughters born in 1950 = 4 x 3 = 12
daughters born in 1980 = 12 x 3 = 36
daughters born in 2010 = 36 x 3 = 108
PLEASE HELP ASAP. I NEED TO KNOW NOW
Detemine which equation has the same solutions as the equation below.
4x^2+32x-28=0
Answer:
the answer is x1 = -4- square root of 23 x2= -4+ square root of 23
Pleas help!!!!!!!!!!
The axis of symmetry for a certin parabola is x=-3
The vertex is (?,5) find the value of ?.
Answer: (3,5)
Step-by-step explanation:
this dot plot is symmetric and the data set has no extreme values what is the best measures of center for this dot plot
Answer:
Step-by-step explanation:
all i know is that it is not the IQR maybe its the MAD but im not sure
Answer:
It's B
Step-by-step explanation:
I took the test and I got it right. No problem :D
When having the same radius and height what fraction of a cylinder have the same volume as one cone?
Answer:
1/3
Step-by-step explanation:
volume of a cylinder = nr^2h
Volume of a cone = 1/3(nr^2h)
n = 22/7
r = radius
h = height
If the volume of a cylinder is 300, the volume of a cone = 1/3 x 300 = 100
the capacity of a cone is 1/3 that of a cylinder
A line passes through the points (1, 9) and (0, 4). What is its equation in slope-intercept
Ms. Benton gives her students a reading list with 12 books. She requires
them to read 2 books from the list during the grading period. In how many
different ways can 2 books be chosen?
8
Step-by-step explanation:
A business has a savings account that earns a 3% annual interest rate. At the end of 1996, the business had $4,000 in the account. The formula
F = p (1+r/100)
t is used to determine the amount in the savings account.
F is the final amount,
p is the initial investment amount,
r is the annual interest rate, and
t is the time in years.
To the nearest dollar, how much did the business initially invest in 1991?
A. $3,450
B. $3,455
C. $4,631
D. $4,637
Answer:
The amount the business initially invested in 1991 is approximately;
A. $3,450
Step-by-step explanation:
The question relates to investment and finance
The parameters given are;
The annual interest rate on the business savings account = 3%
The amount the business had in the account at the end of 1996 = $4,000
The given formula used to determine the final amount in the savings account, [tex]F = p \cdot \left(1 + \dfrac{r}{100} \right )^t[/tex]
Where;
F = The final amount
p = The initial (principal) investment
r = The annual interest rate
t = The time in years
Therefore, we have;
The required information = The initial amount, 'p', the business invested in 1991
The time in years, 't', from 1991 to 1996 = 1996 - 1991 = 5
∴ The time in years from 1991 to 1996, t = 5 years
The final amount in 1996, F = $4,000
r = 3%
Plugging in the values in the given equation gives;
[tex]4000 = p\cdot \left(1 + \dfrac{3}{100} \right )^5[/tex]
Therefore;
[tex]p = \dfrac{4000}{\left(1 + \dfrac{3}{100} \right )^5} = 3,450.43513754[/tex]
To the nearest dollar, the initial amount the business invested in 1991, p ≈ $3,450.
If h = 2, what is 3x (4 - h)?
Answer:
3x(2)
Step-by-step explanation:
What does AB equal in this problem? It’s timed
Answer:
For angle B which is 50 degrees,
hypotenuse = AB =?
Adjacent = BC = 2 units......(given)
cos 50 = adjacent / hypotenuse
0.643 = 2 / AB. .....(as cos 50 = 0.643 approx)
AB * 0.643 = 2
AB = 2 / 0.643
AB = 3.11 units(approx)
Solve with substitution. Show each step of your work
4x + y = 12
6x + 2y = 18