Answers
Answer:answer to 9:$1,025.00 answer to 10:$243.90 answer to 11:$1,025.15
Step-by-step explanation:
explanation to 9:First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year.
Solving our equation:
A = 500(1 + (0.07 × 15)) = 1025
A = $1,025.00
The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 7% per year for 15 years is $1,025.00.explanation to 10:First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year.
Solving our equation:
P = 500 / ( 1 + (0.07 × 15)) = 243.90243902439
P = $243.90
The principal investment required to get a total amount, principal plus interest, of $500.00 from simple interest at a rate of 7% per year for 15 years is $243.90. explantion to 11:First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year.
Solving our equation:
A = 500(1 + (0.07 × 15)) = 1025
A = $1,025.00
The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 7% per year for 15 years is $1,025.25.
Related Questions
Solve for the value of x -
5(4x-4)=5(3x+3)
Answers
[tex]5(4x - 4) = 5(3x + 3) \\ \cancel5(4x - 4) = \cancel5(3x + 3) \\ (4x - 4) = (3x + 3) \\ 4x - 3x = 4 + 3 \\ x = 7[/tex]
Verification:-Put the value of X in equation:-
LHS:-
[tex]5(4x - 4) = 5(4(7) - 4) \\ 5(28 - 4) \\ 5(24) = 120[/tex]
RHS:-
[tex]5(3x + 3) = 5(3(7) + 3) \\ 5(21 + 3) \\ 5(24) = 120[/tex]
LHS= RHS
Hence proved
Answer:
x = 7
Step-by-step explanation:
Divide by 5 on each side :
5/5 (4x-4)=5/5 (3x+3)4x - 4 = 3x + 3Add 4 on each side :
4x - 4 + 4 = 3x + 3 + 44x = 3x + 7Subtract 3x from each side :
4x - 3x = 3x + 7 - 3xx = 7PLEASE HELP, I NEED THE ANSWER BEFORE 3 HOURS 1. In the fraction the 11 represents the? a. Dividend b. Divisor c. Denominator 2. In the decimal number 125.795 the 9 represents the d. Quotient e. Both B & C place.
Answers
Answer:
e. Both B & ChundredthsStep-by-step explanation:
Q1
In the fraction 5/11, 11 represents the divisor and the denominator.The correct option is eQ2
In the number 125.795, the 9 represents the hundredths placeAnswer:mbvcdhfguh
Step-by-step explanation:kvghjve5yr
The Breaker's Manufacturing Company makes 80% of a particular sensor, the Cartin Company makes 15% of them, and the Flutes Company makes the other 5%. The sensors made by Breaker's have a 4% defect rate, the Cartin sensors have a 6% defect rate, and the Flutes sensors have a 9% defect rate. If a sensor is randomly selected from the general population of all sensors, what is the probability that it is defective, given that it was made by Breaker’s?
Answers
Answer:
0.04
Step-by-step explanation:
The sensors made by Breaker's have a 4% defect rate
Question 8
Suppose that f and g are functions which are inverse of each other. What happens when f is
composed to g or vice versa?
O The composition is always x.
O The composition is always-x.
O The composition is always 1.
O The composition is always 0.
Answers
The composition of the function and its inverse function is always one. Then the correct option is C.
What is the inverse of a function?Suppose that the given function will be
f: X → Y
Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is
f⁻¹: Y → X
such that:
[tex]\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X[/tex]
(and vice versa).
It simply means that the inverse of 'f' is a reverse operator, that takes back the effect of 'f'
Suppose that f and g are functions that are inverse of each other.
When f is composed of g or vice versa. Then the composition will be
We know that the composition of the function and its inverse function is always one. Then we get
When f is composed of g or vice versa. Then the composition will be 1.
Thus, the correct option is C.
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Simplify each monomial rational expression 20x^2 divided by 10x^2
Answers
Answer:
2x to the 4th power
Step-by-step explanation:
Hope this helps
i need help with v-math
Answers
Answer:
Y=p/9
Step-by-step explanation:
Can u see p = 9y?
But there is no option of p = 9y
So try to work a bit on the formula to y = p/9
what is the surface area of the sphere
Answers
Answer:The answer iis 1810.3cm^2
Step-by-step explanation:
Question :-
What is the surface area of the sphere that has a radius of 12 cm?Answer :-
The surface area of the sphere is 1809 cm².[tex] \rule{180pt}{3pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bold{12 \: cm}}\end{picture}[/tex]
Solution :-
As per the provided information in the given question, we have been given that the radius of the sphere is 12 cm. We have been asked to find or calculate the surface area of the sphere.
To calculate the surface area of the sphere, we will use the formula below :-
[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Sphere)} = 4\pi r^2 \:\:}}[/tex]
Substitute the given values into the above formula and solve for surface area:
[tex]\sf:\implies Surface \: Area_{(Sphere)} = 4\pi r^2[/tex]
[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4)(3.14)(12 \: cm)^2[/tex]
[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4)(3.14)(144 \: cm^2)[/tex]
[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4)(452.16 \: cm^2)[/tex]
[tex]\sf:\implies \bold{Surface \: Area_{(Sphere)} = 1809 \: cm^2}[/tex]
Therefore :-
The surface area of the sphere is 1809 cm².[tex]\\[/tex]
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Have a great day! <33
Please help quick 30 points
Evaluate 5 x + (-2 x2 ) for x = 3.
Answers
Answer:
I'd say 11 but could also be 30
Find the value of x if the perimeter is 20
Answers
Answer:
x = 3Step-by-step explanation:
Find the value of x if the perimeter is 20
20 = X + 4X - 6 + X + 8
20 + 6 - 8 = 6X
18 = 6X
x = 18 : 6
x = 3
-----------------
check
20 = 3 + 3 * 4 - 6 + 3 + 8
20 = 20
the answer is good
Answer:
Value of x is 3
Step-by-step explanation:
Given perimeter of figure = 20
x + (x+8) + (4x-6) = 20
x + x + 8 + 4x - 6 = 20
6x + 2 = 20
6x = 20 - 2
6x = 18
x = 18 / 6
x = 3
PLEASE HELP WILL GIVE BRAINLIEST!!!
Answers
Answer:
▪︎ Domain: all real numbers (x can be any number)
▪︎ Range: y <= 0 (y can never become greater than 0 bc the vertex of this function (highest point) is (0,0))
Given: ΔABC is an isosceles triangle where AB = BC.
Prove: m∠BAC = m∠BCA
Proof:
Statement Reason
1. Let ΔABC be an isosceles triangle where AB = BC. given
2. Create point D on so that bisects ∠ABC as shown. constructing an angle bisector
3. m∠ABD = m∠DBC definition of angle bisector
4. BD = BD
5. ΔABD ≅ ΔCBD SAS
6. m∠BAC = m∠BCA Corresponding angles of congruent triangles are equal.
20
What is the reason for statement 4 in this proof?
A.
Transitive Property of Equality
B.
definition of midpoint
C.
definition of parallel lines
D.
Reflexive Property of Equality
Reset Next
Answers
You are comparing side AB, angle ABD, and side BD in one triangle to side CB, angle CBD, and side BD in the other triangle. That is, you are comparing a Side, Angle, and Side in each triangle. The SAS postulate is the reason the triangles are congruent.
Answer:
Transitive Property of Equality
Step-by-step explanation:
A bag contains 9 marbles: 2 are green, 3 are red, and 4 are blue. Raina chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that both marbles she chooses are red? Write your answel as a fraction in simplest form.
Answers
=========================================================
Explanation:
There are 3 red out of 9 total
The probability of picking red at random is 3/9 = 1/3
If the first marble is not put back, then the chances of picking red again are now 2/8 = 1/4
Notice how I subtracted 1 from the numerator and denominator of 3/9 to get to 2/8. This is because the red count and the total count both go down by 1 each.
Now multiply the fractions mentioned:
(3/9)*(2/8) = (1/3)*(1/4) = (1*1)/(3*4) = 1/12
If you did this trial 12 times, then you should expect to get two reds about once. That's one way to interpret the probability of 1/12.
Side note: 1/12 = 0.0833 = 8.33% approximately
The diagram shows a right-angled triangle.
to
5 cm
11 cm
Find the size of angle x.
Give your answer correct to 1 decimal place.
Answers
65.6
First find the hypotenuse:
(hyp)²=(opp)²+(adj)² theo. of pyth.
(hyp)²=(11)²+(5)² subt.
(hyp)²=121+25 calc.
√(hyp)²=√146
hyp=12.08cm
sinx = 11/12.08
x=sin-¹(11/12.08)
x=65.6°
Please help! Asap!!!
Answers
Step-by-step explanation:
mean value : the sum of the measurements of all 10 plants divided by 10 (the number of measurements).
A)
since the 2 measurement errors are compensating each other in the sum of measurements (-5 cm vs. +5 cm), the sum stays the same, the number of measurements stays the same (10), so the mean value stays the same (72 cm).
B)
the mean absolute deviation was the mean value of the absolute values of the differences of each measurement to the plant measurements.
since the mean value stayed the same, so did the difference of the 8 originally correct measurements to that mean value.
the only change is with the 2 corrected measurements.
the original (but wrong) measurement of 65 had a difference of 7 (to 72).
and now it is only 2 (70 to 72).
and the other one had a difference of 6 (72 to 78).
and now it is only 1 (73 to 72).
so, the sum of all the differences decreased by (7-2) + (6-1) = 5 + 5 = 10.
we had originally a mean absolute deviation of 8.5. the sum of all 10 original differences was therefore 8.5×10 = 85.
now this sum went down to 85-10 = 75.
and the new mean absolute deviation is 75/10 = 7.5.
Surface Area
For the two figures below, the base area and the heights have been provided.
Figure A
Figure B
4 cm
5 cm
25 cm?
20 cm
what the volume for both figures?
Answers
Answer:
V of both A and B is 100 cm³
Step-by-step explanation:
the volume (V) of a prism is calculated as
V = Ah ( A is the area of the base and h the height )
A
A = 20 and h = 5 , then
V = 20 × 5 = 100 cm³
B
A = 25 and h = 4 , then
V = 25 × 4 = 100 cm³
Given that l is the centroid of triangle CDE, find CH.
A. 3
B. 4
C. 8
D. 12
Answers
Answer:
D. 12.
Step-by-step explanation:
As I is the centroid G is the midpoint of CE, so
2x + 5 = 5x - 4
5+4 = 5x - 2x
3x = 9
x = 3.
x + 5 = 2/3 * CH (Properties of the centroid of a triangle).
So as x = 3
2/3 CH = 3 + 5
CH = 8 * 3/2
CH = 12.
Find the sum of all positive integers less than 200 that are divisible by 7.
Answers
Step-by-step explanation:
the positive integer numbers that are divisible by 7 are an arithmetic sequence by always adding 7 :
a1 = 7
a2 = a1 + 7 = 7+7 = 14
a3 = a2 + 7 = a1 + 7 + 7 = 7 + 2×7 = 21
...
an = a1 + (n-1)×7 = 7 + (n-1)×7 = n×7
the sum of an arithmetic sequence is
n/2 × (2a1 + (n - 1)×d)
with a1 being the first term (in our case 7).
d being the common difference from term to term (in our case 7).
how many terms (what is n) do we need to add ?
we need to find n, where the sequence reaches 200.
200 = n×7
n = 200/7 = 28.57142857...
so, with n = 29 we would get a number higher than 200.
so, n=28 gives us the last number divisible by 7 that is smaller than 200 (28×7 = 196).
the sum of all positive integers below 200 that are divisible by 7 is then
28/2 × (2×7 + 27×7) = 14 × 29×7 = 2,842
Round the following numbers
to the nearest len
1)7
2)23
3)1.562
Answers
1) 7 = 7.0
2) 23 = 23.0
3) 1.562 = 1.6
Answer:
1) round off 7 to the nearest 10 is 10
2) round off 23 to the nearest 10 is 20
3)round off 1.562 to the nearest 10 is1.6
step by step explanation :
any whole number that is 5 and more can be rounded off to 10 e.g 5, 6 ,7 but numbers that are less than 5 can't be rounded off to 10 so it's becomes 0 e.g 4,2,3
example : round off 12 to the nearest ten
the answer is 10
Which Angle measure must equal 52•
Answers
Answer:
c
Step-by-step explanation:
vertically opposite angles are always equal
here, the angle with the measure 52 degree and angle c are vertically opposite angles
so angle with the measure 52 degree = angle c
angle c equals to 52 degree
Find the volume of the square pyramid.
A. 15 yd
B. 25 yd
C. 35 yd
D. 45 yd
Answers
It’s confusing on how they worded it to me
Answers
You're looking for the equation of the line through the two yellow points, whose coordinates are (4, 0) and (8, 9).
Compute the slope:
(9 - 0) / (8 - 4) = 9/4
Using the point-slope formula, the equation of the line is
y - 0 = 9/4 (x - 4)
or
y = 9x/4 - 9
I need help with this thank you!
Answers
Answer: m<AOB is 60 degrees.
Step-by-step explanation: If BCD is 30 degrees, it intercepts the arc BA, and therefore, any angle that intercepts an arc is half of the arc it intercepts. Thus, AOB is 60 degrees.
PLEASE HELP THIS IS DUE AFTER 20 MINS!! I’LL GIVE BRAINLIEST!
Answers
Answer:
lol
Step-by-step explanation:
lol
Find the area of the figure. A. 24.3 ft2 B. 38.1 ft2 C. 48.6 ft2 D. 35.7 ft2
Answers
The area of the figure is the amount of space on it, and the calculated area is 48.6 square feet
How to determine the area?The figure is a triangle with the following parameters:
Base = 20
Height = 4.86
The area of a triangle is:
Area = 0.5 * Base * Height
So, we have:
Area = 0.5 * 20 * 4.86
Evaluate
Area = 48.6
Hence, the calculated area is 48.6 square feet
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What's the mean, median, mode, and range of 8, 10, 8, 14, 8 and 15
Answers
Answer: Mean: 10.5, Median: 9 Mode: 8 Range: 7
Step-by-step explanation
mean put the numbers in order, so 8,8,8,10,14,15 the mean is adding all numbers together and dividing by the number so 8 + 8 + 8 + 10 + 14 + 15 divided by 6 is 10.5,
median is middle so 9 since theres two middle numbers u add them both and then divide by 2
mode is the most so its 8 since 8 is there 3 times
range is the highest number and lowest number and u subtract them so 15 - 8 = 7
sorry if this is long but the answers are at the top
Answer:
Below in bold.
Step-by-step explanation:
Mean = ( 8 + 10 + 8 + 14 + 8 + 15) / 6
= 10.5.
Arrange in ascending order to find the median:
8 8 8 10 14 15
Median = mean of the middle 2 numbers
= (8 + 10)/2
= 9.
Mode = most occurring number = 8.
Range = greatest - least = 15 - 8 = 7.
Help asap thank you will choose branliest
Answers
Answer:
maybe option 2 is the correct answer
Answer:
1 and 3/8 or C
Step-by-step explanation:
the longer pencil is 5 and 2/8 and the length of the shorter pencil is 3 and 7/8
5 2/8 - 3 7/8= 11/8 or 1 and 3/8
I hope this helps!!!
#82 will give brainliest to best answer!
Answers
Answer:
[tex]\frac{6}{k-6}[/tex]
Step-by-step explanation:
First, we can factor all of the following equations to turn that weird, huge looking thing into [tex]\frac{(k+6)(k-6)}{(k-6)(k-10)}[/tex] ÷ [tex]\frac{(k-6)^2}{k(k-6)}[/tex] × [tex]\frac{6(k-10)}{k(k + 6)}[/tex]. We know that division is simply multiplication by the reciprocal, so that whole equation will turn into [tex]\frac{(k+6)(k-6)}{(k-6)(k-10)}[/tex] × [tex]\frac{k(k-6)}{(k-6)^2}[/tex] × [tex]\frac{6(k-10)}{k(k+6)}[/tex]. Now we can cancel out some values if they are both in the numerator and denominator, which will turn that still huge looking thing into [tex]\frac{6}{k-6}[/tex] which is our final answer, as it cannot be simplified further.
Hope this helped! :)
=[(k^2-6^2)/(k-6)(k-10)]*[k(k-6)/(k-6)^2][6(k-10)/k(k+6)
=(k^2-6^2)(k/(k-6)^2)(6/k (k-6)
=6(k^2-6^2)/(k-6)^2(k+6)
Valentina has a tray where she keeps all of her important papers. the tray is in the shape of a rectangular prism with no top. a rectangular prism with a length of 12 inches, width of 10 inches, and height of 2.5 inches. what is the volume of papers that the tray can hold? 160 inches cubed 180 inches cubed 280 inches cubed 300 inches cubed
Answers
The volume of a rectangular prism with a length of 12 inches, width of 10 inches, and height of 2.5 inches is 300 cubic inches
Volume of a rectangular prismLength= 12 inchesWidth = 10 inchesHeight = 2.5 inchesVolume of a rectangular prism = length × width × height
= (12 × 10 × 2.5) inches
= 300 inches
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Write the repeating decimal as a fraction.
1.4979
Answers
Answer:
1 4979/9999
Step-by-step explanation:
1.497949794979....
= 1 4979/9999
Point B is between A and C. If AB = 3x, BC = 4x-2, and AC = 12, find the length of BC
Answers
Answer:
BC = 6 units
Step-by-step explanation:
given that B is between A and C , then
AB + BC = AC ( substitute values )
3x + 4x - 2 = 12
7x - 2 = 12 ( add 2 to both sides )
7x = 14 ( divide both sides by 7 )
x = 2
Then
BC = 4x - 2 = 4(2) - 2 = 8 - 2 = 6
Answer:
6
Step-by-step explanation:
from the question, since point B is between Ac
AC = AB + BC
12 = 3X+4X -2
3X+4X-2 = 12
7X = 12+2
7X = 14
dividing bothsides by 7
7X/7 = 14/7
X = 2
the length BC = 4X-2 = 4(2)-2 = 8-2= 6
length of BC = 6