1) Mike invests $2,316 in a retirement
account with a fixed annual interest rate of
3% compounded continuously. What will
the account balance be after 17 years?
Answer:
$3828 approx
Step-by-step explanation:
Given data
Principal=$2316
Rate= 3%
Time= 17 years
The compound interest formula is
A=P(1+r)^t
substitute
A=2316(1+0.03)^17
A=2316(1.03)^17
A=2316*1.652847
A=$3827.99
Hence the account balance after 17 years is $3828 approx
What is the slope of OA?
Answer:
D) b/a
From the given figure, O = (0, 0) and A = (a, b)
Slope of OA = (y2 - y1) / (x2 - x1)
Here x1 = 0, y1 = 0, x2 = a and y2 = b.
Slope of OA = (b - 0)/(a - 0)
Slope of OA = b/a
Answer: D) b/a
PLEASE HELPPPPP
The revenue made by a car
company from the sale of y cars is given by 0.003y! +
10y. The cost to produce y cars is given by the polynomial 20y + 1,000,000. Write
a polynomial expression for the profit from making and selling y cars. Find the
profit the company will make if it sells 30,000 cars.
Answer:
Part A
The polynomial expression for the profit from selling and making 'y' cars is 0.003·y² - 10·y - 1,000,000
Part B
The profit made from selling 30,000 cars is 1,670,000
Step-by-step explanation:
Part A
Taking the revenue, 'R', made by the car company for the sale of 'y' cars as R = 0.003·y² + 10·y
The cost to produce 'y' cars, C = 20·y + 1,000,00
The profit, 'P', from making and selling 'y' cars is given as follows;
P = R - C
∴ 0.003·y² + 10·y - (20·y + 1,000,00) = 0.003·y² - 10·y - 1,000,00
An expression of the polynomial for the profit 'P', from selling and making 'y' cars is therefore presented as follows;
0.003·y² - 10·y - 1,000,000
Part B
The profit made from selling 30,000 cars, (y = 30,000) is given as follows;
= 0.003·y² - 10·y - 1,000,000
[tex]P_{y = 30,000}[/tex] = 0.003 × 30,000,000² - 10×3,000 - 1,000,000 = 1,670,000
The profit made from selling 30,000 cars = 1,670,000.
Hi guys can you answer my math question 1 2 and 3
Answer:
1. a) 7
b) 8
c)7
d) 6
2. a) -2 < 4
b) -3 > -5
c) -1°C
3. 39.95
Step-by-step explanation:
43x28 what is the whole problem to solve it
Answer:
Step-by-step explanation:
43x28=1204
Answer:
1,204
Step-by-step explanation:
43(28) = 1,204
Find the volume of the figure I-ready
14 cm, 8 cm, 10 cm, 10 cm, 10 cm and 8 cm
123456789000009876543212345678908765435rtgbhnmkjhgvf bjlogvoufcggg 60
PLEASE HELP DUE TODAY!! WILL GIVE BRAINLINESS!!
Explain how to use the unit-factor method to convert 120 pounds to kilograms.
Hint: 1 kilogram=2.2 pounds
To write the unit factors, use the / symbol, like this: 1 gallon/3.79 liters.
The converted units is 120 pounds = 54.5 kilogram
How to convert the units?As a general rule, we have:
1 kilogram=2.2 pounds
Multiply both sides by 120
120 * 1 kilogram=2.2 pounds * 120
Divide both sides by 2.2
120/2.2 * 1 kilogram=2.2 pounds * 120/2.2
Evaluate the products
54.5 kilogram= 120 pounds
Rewrite as:
120 pounds = 54.5 kilogram
Hence, the converted units is 120 pounds = 54.5 kilogram
Read more about metric units at:
https://brainly.com/question/2555957
#SPJ1
Find the circumference of this circle.
47cm
3.14
30cm
15cm
Answer:
47 cm im nnot sure
Step-by-step explanation:
If a tire has a diameter of 20 inches, how far will the tire travel in one full rotation?
A) 20.0 inches
B) 62.8 inches
C) 125.6 inches
D) 314.0 inches
Answer:
B.62.8 inches
Step-by-step explanation:
just multiply the diameter by pi to get the circumference
20 x 3.14= 62.8
Re-write the quadratic function below in Standard Form
y=−7(x+1)^2+5
Answer:
y=-7x^2-14x-2
Step-by-step explanation:
Hope this helpz
solved in fully simplified slope intercept form
Answer:
-1/2
Step-by-step explanation:
Answer:
y = -1/2x + 1
Step-by-step explanation:
(0,1) and (2,0)
Slope:
m=(y2-y1)/(x2-x1)
m=(0-1)/(2-0)
m=(-1)/2
m= -1/2
Slope-intercept:
y - y1 = m(x - x1)
y - 1 = -1/2(x - 0)
y - 1 = -1/2x
y = -1/2x + 1
Ben has 43 coins belonging to dimes or quarters. If he has
$8.80, how many dimes does he have?
dimes
Answer:
7 dollars and 50 cents of quarters. That right there equals 30 coins
He has a dollar and thirty cents in dimes and that equals 13 coins
Together that is $8.80. with 43 coins.
Step-by-step explanation:
ASAP What is this ill give brainiest
Answer:
1. d = 2t
2. d = 2 (13) d = 26 meters
3. I added the graph in a file
A highway is going to be built around a city. The highway will be in the shape of a perfect circle, and its total length will be 251.2 kilometers. A nearby bus stop will have a billboard with a map of the bus routes along the highway. The map is drawn to a scale of 1:7,500. Calculate the area that is surrounded by the highway on the billboard map. Round the answer to the nearest hundredth of a square meter.
Answer:
The area that is surrounded by the highway on the billboard is approximately 89.34 square meters
Step-by-step explanation:
The given parameters are;
The length of the circle shaped highway = 251.2 km
The scale of the map of the bus routes along the highway = 1:7,500
The circumference of a circle, C = 2·π·r = The length of the perimeter of the circle
Therefore, we have;
The circumference of the highway = The length of the circle shaped highway = 251.2 km
The circumference of the highway, C = 251.2 km = 2·π·r
The radius of the circular highway path, r = 251.2 km/(2·π) ≈ 39.994217 km
The area of a circle, A = π·r².
The area of the highway = π·r² = π × (39.994217 km)² ≈ 5,025.09492434 km.²
Given that the scale of the map = 1:7,500. we have;
The scale of the area = (1:7,500)² = (1:56,250,000)
The size of the drawing, 5,025.09492434 km.²/(56,250,000) = 0.00008933502 km² = 89.33502 m.²
Therefore, the area that is surrounded by the highway on the billboard, rounded to the nearest hundredth of a square meter ≈ 89.34 m.²
Please help me Find x, y, and z
Answer:
X 90 z 90 y 90
Step-by-step explanation:
Write the percent as a fraction or mixed number in the simplest form.
88% =
Answer:
Step-by-step explanation:
22/25
simple question: what is 2+2
Answer:
4
Step-by-step explanation:
A number n divided by 12 is 10.
or n +
Step-by-step explanation:
10.....................
Answer:
n = 120
Step-by-step explanation:
A local restaurant places tissue-paper liners in baskets for yeast rolls. A diagram of this liner is shown below. About how many square centimeters of tissue paper are needed to make one liner?
Answer: 379.2 cm2
Step-by-step explanation:
Raj, Amit, Parul, and Lara were asked to find the volume of the following cones.
Raj
Amit
Parul
Lara
A cone with diameter of 5 centimeters and height of 3 centimeters. A cone with a radius of 3 centimeters and height of 4 centimeters. A cone with a height of 7 centimeters and Base = 4 pi centimeters squared. A cone with a height of 6 centimeters and Base = 3 pi centimeters squared.
Whose cone has a volume closest to 9 pi centimeters cubed?
Raj
Amit
Parul
Lara
Answer:
Option C is correct Parul is closest to 9 pi centimeters cubed!!!
Have a Great Day!!!!
Answer:
I would believe it would be the answer C parul
sorry if im wrong
A two-sample t-test for a difference in means was conducted to investigate whether there is a statistically significant difference in the average amount of fat found in low-fat yogurt and the average amount of fat found in nonfat yogurt. With all conditions for inference met, the test produced a test statistic of t=2.201 and a p-value of 0.027.
Based on the p-value and a significance level of α=0.05, which of the following is the correct conclusion?
Answer:
Step-by-step explanation:
its B darling
help!!!!!!!!!!!!!!!!!!!
The volume of this cylinder is approximately ___ cubic cm.
Use ≈ 3.14. Do not round your answer.
Answer:
Step-by-step explanation:
area of a cylinder = (area of a circle) times the (height)
area of a cylinder = π radius² × height
radius = 57 cm height = 40 cm
area of a cylinder = π 57² cm² × 40 cm
= π (57² × 40) cm³
= π ( 57 × 57 × 40) cm³ 57x57 = 399 + 2850 = 3249
= π (3249 × 40) cm³
= 129969π cm³ π = 3.14
= 129969 × 3.14 cm³
= 408,074.4 cm³ < ----------------- Final Answer
Please help!!!!im struggling!!!!!!!!!
Answer:
the answer is the second one
Step-by-step explanation:
have a great day :)
4. Of 100 students surveyed, 32
like green beans, 40 like carrots,
20 like both green beans and
carrots, and 8 do not like green
beans or carrots. Based on
these results, how many of the
next 40 students surveyed would
expect to like carrots only?
Answer:
16 students
Step-by-step explanation:
40 kids like only carrots and 40% of a hundred is 40%, so out of the 40 students that will be surveyed only 40% will like only carrots. 40% of 40 is 16
The price of a holiday was decreased by 12 percent to 600 . What was the price before the decrease?
Price before decrease = x
If price before decrease is 100, then price after decrease = 100- 12 = 88
100:88 = x:600
100/88=x/600
100/88 ×600 = x
681.82 =x
Price before decrease =681.82
How many integer values for 'a' satisfy the inequality?
Answer: the image is blurry
Answer:
im doing this problem it kinda hard
Step-by-step explanation:
i need help this is dude tomorrow
Answer:
B. y=-x+2
Step-by-step explanation: If you plot each equations on desmos graphing calculator you can look for those points and see if is on there.
what is the answer to -3/7 × 3/8 ???????///
Answer:
Exact Form:
−9/56
Decimal Form:
−0.16071428
Step-by-step explanation:
The width of a rectangle is "w" inches long. If the length is 4
inches more than the width, which represents the area of
the rectangle?( the ^ symbol means exponent)
A)2w^2+4w
B)w^2+4w
C)2w^2+4
D)w^2+4
Answer:
B
Step-by-step explanation:
Area of rectangle=length(l)×width(w)
In this case,length= w+4
so Area=(w+4)×w
Therefore Area=w^2+4w
Can someone pls help me with 25 26 and 28
the missing number is 27