Answer:
d 115.9
Step-by-step explanation:
The initial investment of Calvin must be increased by a factor of 115.927 % to equal Marquez's investment at any time. (Correct choice: D)
How to determine the investment needed by Calvin to equal Marquez's investment at any time
In this question we must apply the concept of compound interest to derive the initial investment to be done by Calvin. According to the statement, Calvin invests money five years later than Marquez.
To determine the initial investment to be deposited by Calvin such that his investment equals Marquez's investment at any time we resort to the following expression:
[tex]1500\cdot (1+0.03)^{t+5} = C_{C}\cdot (1+0.03)^{t}[/tex] (1)
Then, we simplify the required initial investment:
[tex]C_{C} = 1500\cdot (1+0.03)^{5}[/tex]
[tex]C_{C} = 1738.911[/tex]
And the increase factor is:
[tex]r_{C} = \frac{1738.911}{1500}\times 100\,\%[/tex]
[tex]r_{C} = 115.927\,\%[/tex]
The initial investment of Calvin must be increased by a factor of 115.927 % to equal Marquez's investment at any time. (Correct choice: D) [tex]\blacksquare[/tex]
To learn more on compound interests, we kindly invite to check this verified question: https://brainly.com/question/14295570
find the approximate radius of a circle with circumference of 198 centimeters
Answer:
C=2πr
r=C/2π
198/2π
≈31.51268cm
Write the equation for the circle with center at (-8,-6) and radius of 10.
Answer:
Step-by-step explanation:
What is the result when the number 39 is decreased by 3%?
result = 39 - 39 x 3% = 39 x 0,97 = 37,83
Which ordered pair is a solution to the following system of inequalities?
y ≤ –x2 + 5x
y > x2 – 4
(–1, –1)
(0, 2)
(2, 5)
(4, 1)
Verifying the conditions, it is found that ordered pair (2,5) is a solution to the given system of inequalities.
What is the system of inequalities?As stated in the problem, it is modeled by:
y ≤ –x2 + 5x
y > x2 – 4
For ordered pair (-1,-1), we have that:
y ≤ –x2 + 5x
-1 ≤ –(-1)2 + 5(-1)
-1 ≤ -6
Which is false.
For ordered pair (0,2), we have that:
y ≤ –x2 + 5x
2 ≤ –(0)2 + 5(0)
2 ≤ 0
Which is false.
For ordered pair (2,5), we have that:
y ≤ –x2 + 5x
5 ≤ –(2)2 + 5(2)
2 ≤ 6
Which is true.
y > x² - 4
5 > 2² - 4
5 > 0
Which is true.
Hence ordered pair (2,5) is a solution to the given system of inequalities.
More can be learned about a system of inequalities at https://brainly.com/question/9774970
Answer:
the third option (2,5)
Step-by-step explanation:
I just took the test:)
MARKING BRAINLEIST IF CORRECT
Answer:
A) (-5,0) and (-4,0)...
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♪[/tex]
X - intercepts are the points where the curve cuts x - axis ~
for the given curve (parabola), the intercepts are :
[tex]\qquad \sf \dashrightarrow \:(-5,0) \: \: and \: \: (-4, 0)[/tex]
The Correct choice is A
[tex]➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖[/tex]
please help me on this it looks weird i will give you a brainly in return no links please
Answer:
A
Step-by-step explanation:
(1.7x10²³) and (3.4x10²³) cancel into 0.5.
0.5(8x10^-14) = 4x10^-14
Answer:
13.6x/3.4 x 10^14 This is a fraction by the way hope this helps
Step-by-step explanation:
13.6
x
3.4
⋅
10
14
Is my answer correct?
Answer:
I believe the majority you got correct, just a few changes. Look at image above for reference.
A cylinder is a radius of 10 inches and a height of 6 inches. About what is it's volume in cubic inches? Use 3.14 for pie
Answer:
1884
Step-by-step explanation:
square the 10 which is 100 and multiply 6 which is 600 and then multiply 600*3.14 which is 1884
Please mark as brainliest
A restaurant sends customers in their loyalty program a coupon for a free birthday dessert. suppose that 8% of
the children and 12% of the adults redeem their coupons.
the restaurant takes separate random samples of 100 children and 90 adults from their loyalty program to see
the difference between the sample proportions (pc - pa).
what will be the shape of the sampling distribution of pc - pa, and why?
Answer:
Not normal, because we expect fewer than 10 children to redeem the coupon.
Step-by-step explanation:
The carson family pays $3,252 a year for their cell phones is $3,252 a reasonable answer?
Answer:
Here we will show you how to calculate how much you will make in a year if you make $3252 an hour. Our calculations are based on the following information, but you can change the numbers further down on this page to make it better reflect your situation.
Hourly Pay: $3252
Work hours per week: 40
Work weeks per year: 52
Income Tax Rate: 12%
To calculate how much $3252 an hour is per year, we first calculate weekly pay by multiplying $3252 by 40 hours per week, and then we multiply the product by 52 weeks, like this:
$3252 × 40 hours
= $130,080.00 per week
$130,080.00 × 52 weeks
= $6,764,160.00 per yearNow you know that your gross income per year (income before tax) is $6,764,160.00 if you make $3252 per hour. However, you have to deduct taxes to find your net yearly income (income after tax).
Everyone has to pay 6.2% Social Security Tax and 1.45% Medicare Tax. Furthermore, we assume you will pay about 12% in Federal, State, and Local income taxes. Here is how to calculate your net income (the actual amount you will receive per year):
Social Security Tax
($6,764,160.00 × 6.2)/100
= $419,377.92
Medicare Tax
($6,764,160.00 × 1.45)/100
= $98,080.32
Income Taxes
($6,764,160.00 × 12)/100
= $811,699.20
+ $6,764,160.00 Gross Income
- $419,377.92 Social Security Tax
- $98,080.32 Medicare Tax
- $811,699.20 Federal/State/Local Taxes
= $5,435,002.56 Net IncomeThere you have it. Now you have the answer to "$3252 an hour is how much a year?" If you make $3252 per hour, then your yearly income before taxes is $6,764,160.00 and your yearly income after taxes is $5,435,002.56
We made some assumptions about how much you work and how much taxes you have to pay. You can adjust these assumptions below to match your situation to get the exact amount for your situation.
Step-by-step explanation:
Help me, please guyyyyyyusssssss.
Answer:
Step-by-step explanation:
7) Volume of the shape = Volume of triangular prism - volume of cylinder
Triangular prism:
[tex]\boxed{ \text{Volume of triangular prism = base area * h }}[/tex]
b = 6 ft & height of the triangle = 5 ft
[tex]\sf Base \ area = \dfrac{1}{2}* 6* 5[/tex]
= 3*5
= 15 ft²
Volume of prism = 15 * 4
= 60 ft³
Cylinder:
r = 2÷2 = 1 ft & h = 4 ft
Volume of cylinder = 3.14 * 1 * 1 * 4
= 12.56 ft³
Volume of the shape = 60 - 12.56
= 47.44 ft³
8) Volume = Volume of Pyramid - Volume of cone
[tex]\boxed{\text{Volume of the Pyramid = base area * h} }[/tex]
[tex]\text {base area = length * width}\\\\\\[/tex]
= 9 * 9
= 81 m²
Volume of Pyramid = 81 * 8
= 648 m³
[tex]\boxed{ \text{Volume of cone = \dfrac{1}{3} \pi r^{2}h}}[/tex][tex]\boxed{ \text{Volume of cone = $\dfrac{1}{3} \pi r^{2}h$}}[/tex]
r = diameter ÷ 2 = 6÷2
r = 3 m & h = 8 m
[tex]\text{ Volume of cone =$\dfrac{1}{3}*3.14* 3*3*8$}[/tex]
= 3.14 * 3 * 8
= 75.36 m³
Volume of the shape = 648 - 75.36
= 572.64 m³
9) Volume of the shape = volume of cylinder + volume of cone
Cylinder:
h = 7 in ; r = 3
[tex]\boxed{\text{Volume of cylinder =$ \pi r^{2}h$}}[/tex]
[tex]=\dfrac{22}{7}*3*3*7[/tex]
= 22 *3 * 3
= 198 in³
Cone:
r = 3 in & h = 4 in
[tex]\text{Volume of cone = $ \dfrac{1}{3}*3.14*3*3*4$}[/tex]
= 3.14 * 3 * 4
= 37.68 in³
Volume of the shape = 198 + 37.68
= 235.68 in³
10) Volume of the shape = Volume of outer cyliner - volume of inner cylinder
Volume of outer cylinder:
R = 9 m & h = 3 m
Volume of outer cylinder = 3.14 * 9 * 9 * 3
= 763.02 m³
Volume of inner cylinder:
r = 5 m & h = 3 m
Volume of inner cylinder = 3.14 * 5 * 5 * 3
= 235.5 m³
Volume of the shape = 763.02 - 235.5
= 527.52 m³
help me please i need help
Answer:
72
Step-by-step explanation:
1 large cube is 2 x 3 cubes equals 6
length is 3 x 4 x 2 = 24
24 x 3 = 72 for each layer
72 x 2 = 144 smaller cubea
Luz borrowed
money from her bank for home repairs, the principal was $25,000, the rate
was 15% the time was 6 years. How
much interest will she pay and what is the total amount she will have to
pay back? (Principal and interest).
The total amount accrued, principal plus interest, from simple interest on a principal of $25,000.00 at a rate of 15% per year for 6 years is $47,500.00.
Answer:
I = $22,500.00
A = $47,500.00
Simple interestGiven Data
Principal = $25000
Rate = 15%
Time = 6 years
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 15%/100 = 0.15 per year.
Solving our equation:
A = 25000(1 + (0.15 × 6)) = 47500
A = $47,500.00
I = A - P = $22,500.00
Learn more about simple interest here:
https://brainly.com/question/20690803
10 in.
Based on the measures shown, could the figure be a
parallelogram?
(x + 5) in.
(2x-3) in.
O Yes, one pair of opposite sides could measure
10 in., and the other pair could measure 13 in.
O Yes, one pair of opposite sides could measure
10 in, and the other pair could measure 8 in.
O No, there are three different values for x when each
expression is set equal to 10
O No, the value of x that makes one pair of sides
congruent does not make the other pair of sides
congruent
(x + 2) in
Answer: (1)
Step-by-step explanation:
A flower-delivery service charges $39.95 per flower arrangement and $2.99 for delivery. The total cost y is represented by the function y=39.95x+2.99 , where x is the number of flower arrangements.
Which of the following sets of numbers would be appropriate input values for the given situation? Select all that apply.
A) Integer
B) Only Zero
C) Whole Number
D) Rational Number
E) Positive Integer
F) Negative Number
Answer:
D
Step-by-step explanation:
Out of those choices, only a rational number is going to work. There are too many decimals in the given equation to give an integer, zero, a whole number or a minus number.
D
Samantha invested $67,000 in an account paying an
interest rate of 3.9% compounded continuously.
Assuming no deposits or withdrawals are made, how
much money, would be in the account after 7 years?
Answer:
A = $13,116.03
Step-by-step explanation:
the equation used for compound is A = Pe^rt, where p= principle, r=rate(interest) e=2.71828, and t=time. first convert the rate into a decimal, then plug in the numbers into the equation.
A = 10,000.00(2.71828)^(0.03875)(7)
Two times a number minus six another number is six. Two times the first number added to three times the other number is twenty four.
Find the numbers!
Answer:
First Number: 2
Step-by-step explanation:
You need to work backwards, as an algebraic equation.
24 ÷ 3 = 8
8 ÷ 2 = 4
4 × 2 = 8
8 - 6 = 2
The first number is 2.
- Educationist
simplify 12(3a-1)-3(14a-1)
Step-by-step explanation:
please mark me as brainlest
Answer:
6a - 9
Step-by-step explanation:
[tex]12(3a-1) -3(14a-1)\\[/tex]
First you want to factor. Factor out a -3 from both terms.
[tex]= (-3)(-4(4a-1) + (14a-1))\\[/tex]
Then you want to expand the right bracket.
[tex]= (-3)(-16a + 4 + 14a - 1)\\[/tex]
Collect the like terms
[tex]= (-3)(-2a +3)\\[/tex]
Distribute:
[tex]= 6a - 9[/tex]
676 x 122 - 45 + 69
Brainliest to whoever answers first
Answer:
82.358
Step-by-step explanation:
You have to use PEMDAS to solve this question. Since M is the first one we have to multiply since M stands for multiplication.
676 • 122 - 45 + 69
82,472 - 45 + 69
Then you add because A is next.
82,472 - 114
Then finish it
82,358
Your answer would be = 82,358
I hope it helps! Have a great day!
Muffin ^^
order from least to greatest 4/5 9/10 1/3 7/8 i need hep fast
Answer:
Answer: 1/3, 4/5, 7/8, 9/10
Step-by-step explanation:
4/5 9/10 1/3 7/8
240
5*48=240 4*48=192 192/240
10*24=240 9*24=216 216/240
3*80=240 1*80=80 80/240
8*30=240 7*30=210 210/240
Answer:
option 1 (the basic)
Convert it into a common factor.
So everything in the denominator has to have a common multiple then we can compare from there.
You can either find every multiple here and then see which ones the same or multiply them all (not recommended)
so 120 is the common factor here.
I got this because I know 10 and 5 are basically the same. Since they almost all end with 0s. I know it has to be a number that ends with 0.
8 here is the one I calculated.
My process:
8*5 = 40
40 doesnt go to 3
8*10 = 80
80 doesn’t go to 3
8*15 = 120
120 goes to 3 (Becuase if you add up the numbers 1 + 2 + 0, you’d get 3 which is divisible by 3)
So 120 is the denominator.
Now we divide each to find the numerator now.
120/5 = 24
So we multiplieds 24 by 5 to get 120.
Thats the bottom, whatever we do on the bottom we do to the top.
So 4 * 24 is 96
96/120
Now lets fast forward
In the end you’d end up with in the order we began with
96/120 …(4/5)
108/ 120 …(9/10)
40/120 …(1/3)
105/120 …(7/8)
Now we put them in order from least to greatest in this case.
40/120 …(1/3)
96/120 …(4/5)
105/120 …(7/8)
108/120 …(9/10)
Your order would be
1/3
4/5
7/8
9/10
Option 2 (the decimal)
SO in this case you jsut convert them into a decimal then compare
This is relatively easier since its jsut basic division with decimal.
You do numerator divide by denominator.
4 ÷ 5 = 0.8
9 ÷ 10 = 0.9
1 ÷ 3 = 0.3333333…
7 ÷ 8 = 0.875
Now you just put them in order
0.2, 0.333…, 0.875, 0.9
Same order as before
1/3, 4/5, 7/8, 9/10
please help pleaseeeeeeee
Answer:
9.5
Step-by-step explanation:
First order them:
5, 5, 8, 11, 12, 14
The go to the middle
2, 8, 11, 12
8, 11
8 + 11 = 19
19 / 2 = 9.5
Answer:
9.5 is your answer
Find the perimeter.
Write your answer as a fraction or as a whole or mixed number.
1
6
km
13
wo
1
15 kr
6
13
km
6
1
km
13
1
1 1 2 3 4
6
km
13
|
kilometers
Answer:
5 11/13 km
Step-by-step explanation:
4 ( 1 6/13)
4× 19/13
= 5 11/13
Write an exponential function Y=ab^x for a graph that includes (-1.0,6) and (1, 15).
Answer: perimeter: 40.79
Area: 84
Step-by-step explanation:
perimeter: (√3² + 6²) + (√1² + 6²) + 7 + 6 + 6 + 9 = 40.79
area: ((9 + 6) x 6) / 2 + ((6 + 7) x 6) / 2) = 45 + 39 = 84
For Halloween, Kate wears a monocle
that has a radius of 3 centimeters.
What is the monocle's circumference?
Use 3.14 for n.
centimeters
Answer:
18.84 square centimeters
Step-by-step explanation:
[tex]C =[/tex] [tex]\pi[/tex][tex]d[/tex]
[tex]C = (3.14)(6)[/tex]
[tex]C = 18.84[/tex] [tex]cm^{2}[/tex]
P.S: Diameter is radius + radius so that means that diameter is 3 + 3 for this problem.
How can we describe the relationships that exist between circles and lines?
circles are 360⁰ and lines are 180⁰
Find the mean of the following data set rounded to the nearest hundredth.. 20, 19, 18, 20, 19, 22
Answer:
19.6
Step-by-step explanation
= Sum of terms / number of terms
= ( 20 + 19 +18+ 20 +19 +22 ) / 5
= 19.6
Help on this pleasse.
Answer: 40 degrees
Step-by-step explanation:
can anyone help me with this please ive been stuck on this for the longest
Answer:
step by step solution:
(r/p)(9) = (9+1)²/(9-4) = 100/5 = 20
(q.s)(3) = (-2(3)+7).(3(3)² - 5(3)) = 1×12 = 12
(q/r)(-1) = (-2(-1) + 7)/(-1+1)² = 9/0 = Undefined
(t + s)(4) = -(4)² + 4(4) + 9 + 3(4)² -5(4) = -16 + 16 +9 + 48 - 20= 37
(s o p)(8) = s(p(8)) = s(8-4) = s(4) = 3(4)² -5(4) = 48 - 20 = 28
(q o t)(7) = q(t(7)) = q(-(7)² + 4(7) + 9) = q(-12) = -2(-12) + 7= 24+7 = 31
(r o u)(1) = r(u(1)) = r(1+6) = r(7) = (7+1)² = 64
(t o s)(0) = t(s(0)) = t(0) = 9
(u-p)(-3) = (-3)³ + 6(-3) - (-3) + 4 = -27 -18 + 3 + 4 = -38
(u o r)(-2) = u(r(-2)) = u((-2+1)²) = u(1) = 1 + 6 = 7
(q o q)(6) = q(q(6)) =q (-2(6) + 7) = q(-5) = -2(-5) + 7 = 17
END
help help please? i need it
Answer:
C, $12
Step-by-step explanation:
Every hour worked the employee earns $12. This is a fixed rate and the answer is shown in the 1st slot of the table -- 1 hour = $12
Answer:
12 dollars per hour
Step-by-step explanation:
For each hour worked, we make 12 dollars as show in the first column, 1 hour is 12 dollars
We can check using the last colum
48 dollars / 4 hours = 12 dollars per hour
pls help i need this FASTTTT
Answer:
31 cm2
Step-by-step explanation:
Rectangle 5X2 = 10 cm2
Triangle (6)(7)/2 = 42/2 = 21 cm2
Total area = 10 + 21 = 31 cm2
Hope this helps