Hans invests $550 at a rate of x% per year compound interest. At the end of 10 years, the value of the investment is $638.30, correct to the nearest cent.
Find the value of x.
Answer:
1.5%.
Step-by-step explanation:
x per cent is written as 0.01x as a decimal fraction.
638.30 = 550(1 + 0.01x)^10
(1 + 0.01x)^10 = 638.30/550
Taking logarithms:
10 ln (1 + 0.01x) = ln ( 638.30/550)
ln (1 + 0.01x) = ln ( 638.30/550)/ 10
ln(1 + 0.01x) = 0.014889
Converting the logs:-
1 + 0.01x = e^0.014889 = 1.015
0.01x = 1 - 1.015
0.01x = 0.015
x = 0.015/ 0.01
= 1.5.
Consider a circle centered at C(-2,-4). If the point P(1,-1) lies on the circle, then which of the following points also lies on the circle?
A. (-2, -√18)
B. (-2+√18, -4)
C. (√18, -4)
D. (-2, 4+√18)
Answer:
Consider a circle centered at C(-2,-4). If the point P(1,-1) lies on the circle, then which of the following points also lies on the circle?
A. (-2, -√18)B. (-2+√18, -4)
C. (√18, -4)
D. (-2, 4+√18)
Step-by-step explanation:
If the distance is greater than the radius, the point lies outside. If it's equal to the radius, the point lies on the circle. And if it's less than the radius, you guessed it right, the point will lie inside the circle.hope it's help you
Find the measure of ZBAC.
Answer:
[tex] = \frac{57}{2} \\ = 28.5[/tex]
HELP ME PLEASEEEEEEEE
Answer:
160
Step-by-step explanation:
you need to divide$ 60 and 3/8 to get your answer
6x-8=2x-32 step by step plz
Answer:
Step 1: Add 8 to each side. 6x = 2x - 24
Step 2: Add 2x to each side. 8x = -24
Step 3: Divide each side by 8. x = -3
Answer is -3 :)
Step-by-step explanation:
Answer:
x = - 6Step-by-step explanation:
6x - 8 = 2x - 32
Move 2x to the left hand side of the equation
6x - 2x - 8 = - 32
4x - 8 = - 32
Move -8 to the right side of the equation
4x = - 32 + 8
4x = - 24
Divide both sides by 4
[tex] \frac{4x}{4} = - \frac{24}{4} \\ [/tex]
We have the final answer as
x = - 6Hope this helps you
H E L P!!!!!!!!!!!!!!!!!!!
Answer:
a
Step-by-step explanation:
los multiplos de :
multiplos de 2
múltiplos de 4
multiplos de 5
2,4,6,8,10,12,14,16,18,20,22,24,26,28,30
4,8,12,18,22,26,30
5,10,15,20,25,30
I went all the way to 30
Fui hasta 30
Please help and add explanation:)
Answer:
NO
Step-by-step explanation:
The above image shows two triangles. if we look at the top triangle, we notice it's two sides are equal (16 and 16). We therefore have an isosceles right triangle.
looking the second triangle, we notice that one side is 39, the other 40. Since these are the two sides joined at the point of intersection for the two images, and since 39 does not equal 40, the second triangle cannot be an isosceles right triangle. We conclude that the two triangles are not similar.
6.
The cost of 5.5 pounds of apples is $40.81
What is the constant of proportionality that relates
the cost in dollars, y
to the number of pounds of apples, X?
A) 5.5
B) 5.94
C) 6.37
D) 7.42
F)8.16
G) Not listed
Answer:
I feel it is C or D
but I am not sure hope this helps good luck
Step-by-step explanation:
5 m 5 m 4 m 6 m 4 m 5 m 3 m What is the area of the figure? A. 22 m2 B. 30 m C 33 m2 D 42 m² E 50 m²
What is the area of the rectangle below?
Answer:
5/9m
Step-by-step explanation:
5/6 x 2/3
Answer this please will thank
Find t:
6 x 10^t = 360
Answer:
t=1.78
Step-by-step explanation:
A student must have at least 10 hours of instructor-assisted driving time to pass
the course. Write an inequality to describe this situation.
Answer:
t ≥ 10
Step-by-step explanation:
Since the student needs at least 10 hours of driving time, they need greater than or equal to 10 hours to pass.
Who is able to solve this problem for me please!!!!!!!!!!
Brainiest will be marked!!!!
No link i can’t open it!!!
Answer:
11
Step-by-step explanation:
I did the square root method.
hope this helps!
Hi Is 4/8 equal 8/10
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Answer:
No
0.5 ≠ 0.8
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
No, it is not.
Step-by-step explanation:
The reason is that if you simplified 4/8, you will get 1/2. When you simplified 8/10, you will get 4/5. 1/2 and 4/5 aren't the same number or equivalent to each other so the answer will be no.
Hope that helps. If you need help with anything, let MissAsker know :)!
write the ratio in simple form
please ans with explanation
Answer:
5 3/4:3 1/15
23/4:46/15
doing crisscrossed multiplication
23×15:46×4
345:184
15:8 is your answer.
An entrepreneur buys some microscopes. Each one cost $200 and resells online for $526. What is the mark-up percentage?
Please solve quickly.
Answer:
326
Step-by-step explanation:
Given: Microscopes. Each one costs $200 and resells online for $526.
To find: What is the mark-up percentage?
Solution: Simply take the sales price minus the unit cost, and divide that number by the unit cost. Then, multiply by 100 to determine the markup percentage.
[tex]526 - 200 = 326[/tex]
Net Profit Margin = 61.98%
Net Profit = $326.00
Profit Percentage = 163.00%
Find more here: https://brainly.com/question/23345732
Solve for the value of y.
60°
(8y-2)
Ifm_2 = 68°, what is the measure of angle 7? 1 2. 3 5 7
Answer:
∠7=22°
Step-by-step explanation:
∠2 and ∠7 are supplementary angles, meaning they add to 90°.
∠2+∠7=90°
substitute ∠2
68°+∠7=90°
∠7=22°
Solve for x
Enter the solutions from least to greatest.
-4x^2– 7 = -11
Answer:
x = 1, x = -1
Step-by-step explanation:
-4x² = -4
x² = 1
x = [tex]\sqrt{1}[/tex]
x = ±1
50 POINTS
If A denotes the area of the sector of a circle of radius r formed by the central angle theta, find the missing quantity. if necessary, round the answer to two decimal places.
r=9 inches, theta = pi/6 radians, A=?
Answer:
Step-by-step explanation:
Area of sector = ½ r² ∅
1/2 ( 9^2) pi/6
81 x pi/6 x 1/2
81 x (0.52359877559) x 1/2
Area of sector = 21.21
The volume of a cylinder is 1087 cm and its height is 12 cm.
What is the length of the cylinder's radius?
Enter your answer in the box.
ASAP please
Answer:
4.45x10
Step-by-step explanation:
Solution
V= π r squared h=π·10872·12≈4.45441×10 7 times Im pretty sure thats the answerFind the perimeter of the rectangle. give the answer as a radical expression in the simplest form. (NO LINKS) please show work.
Answer:
12√3
Step-by-step explanation:
5√3 + 5√3 + √3 + √3 = 12√3
I need help on this one
help me with this math plz
Solve for 90 degrees
Answer:
5
Step-by-step explanation:
5x + 65 = 90
5x = 90 - 65
x= 25 / 5 = 5
I hope im right !!
A 24-ounce can of mixed nuts contains 50% peanuts, 0.20 almonds, 1/10 cashews, and 0.20 hazelnuts. Which of the following represents the total amount of almonds and hazelnuts in the can?
Answer:
9.6 ounces
Step-by-step explanation:
Step 1
We find the amount of ounces of Almonds
Total amount of nuts in the container = 24 ounces
0.20 of the nuts are almonds.
Hence,
The amount of almonds = 0.20 × 24 ounces
= 4.8 ounces
Step 2
We find the amount of ounces of hazelnuts
Total amount of nuts in the container = 24 ounces
0.20 of the nuts are hazelnuts.
Hence,
The amount of hazelnuts = 0.20 × 24 ounces
= 4.8 ounces
Step 3
Therefore, the total amount of almonds and hazelnuts in the can is
4.8 ounces + 4.8 ounces
= 9.6 ounces
plsssssssss somebodyy helppp meeeee
you install 412 feet of fencing along the perimeter of a rectangular yard. the width of the yard is 102 feet. what is the length of the yard?
Answer:
Length = x feet = 104 feet
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Length = x feet
Width = 102 feet
Perimeter of a rectangle = 412 feet
Perimeter of a rectangle = 2(length + width)
412 = 2(x + 102)
412 = 2x + 204
412 - 204 = 2x
208 = 2x
x = 208/2
x = 104 feet