Answer:
Lisa invest "$2180.81" in her bank.
Step-by-step explanation:
The given values are:
On Lisa's 62nd birthday,
she withdraw = $10,000
The annuity of $A will remain at 3 percent for 40 years. The retirement pension of $10000 lasts 23 years at rate percentage of 3 but begins 40 years later.
⇒ [tex]A\times (\frac{P}{A} ,3 \ percent,40) - 10000 (\frac{P}{A} ,3 \ percent,23)\times \frac{1}{(1.03)40} = 0[/tex]
⇒ [tex]A\times 23.1148 - 10000\times 16.4436\times 0.3066 = 0[/tex]
⇒ [tex]A = 10000\times 16.4436\times \frac{0.3066}{23.1148}[/tex]
⇒ [tex]= 10000\times 16.4436\times 0.0132[/tex]
⇒ [tex]=2180.81[/tex] ($)
A group of hikers is progressing steadily along an uphill trail. The graph shows their elevation (or height above sea level), in feet, at each distance from the start of the trail, in miles.
What is the slope of the graph? Show your reasoning.
What does the slope tell us about this situation?
Write an equation that represents the relationship between the hikers' distance from the start of the trail, x, and their elevation, y.
Does the equation y-250x=500 represent the same relationship between the distance from the start of trail and the elevation? Explain your reasoning.
Answer:-2
Step-by-step explanation:y=500+250x
You want to take out a loan to buy a new car for which you need to finance $20,089. Your bank will give you a loan at 10% compounded monthly. You look at your budget and decide that you can afford a payment of $269 a month. How many years, to the nearest tenth of a year, must the loan be taken out to meet these conditions?
A) 20.5 years
B) 13.7 years
C) 9.8 years
D) 5.9 years
Which algebic expression is “ten less than a number divided by twelve”?
StartFraction n Over 12 EndFraction minus 10
StartFraction 12 over n EndFraction minus 10
10 minus StartFraction n Over 12 EndFraction
10 minus StartFraction 12 Over n EndFraction
Answer:
It is n/12-10
Step-by-step explanation:
Which is A
The algebraic expression that represents "ten less than a number divided by twelve" is Start Fraction n - 10 Over 12 End Fraction.
To properly calculate the algebraic expression for "ten less than a number divided by twelve," we can break it down step by step.
The expression "ten less than a number" can be written as "n - 10," where n represents the unknown number.
Next, we divide the expression "n - 10" by twelve:
Start Fraction n - 10 Over 12 End Fraction
Therefore, the correct algebraic expression for "ten less than a number divided by twelve" is Start Fraction n - 10 Over 12 End Fraction.
Among the given choices, the correct expression is Start Fraction n - 10 Over 12 End Fraction.
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The line with a slope of 1/3 and a y- intercept of -15 intersects the line passing through which of these pairs of points? Select THREE that apply
A clubs first meeting was attended by 2 people. The second meeting was attended by 4 times as many people as the first meeting. How many people attended the second meeting?
Answer:
The answer would be 8 people attended in the second meeting.
Step-by-step explanation:
Multiply 2 by 4 to get 8.
If x = y and y = Z, which statement must be true?
Answer:
Step-by-step explanation:
that means that x=z transitive prop of equality
if my answer helps please mark as brainliest
marissa rode her bike to the park and back home. halfway to the park, she stopped at the library. she lives 1 3/10 miles from the library. how many miles did marissa ride her bike in all?
Answer:
5 2/10 miles or 5 1/5 miles, if you need to reduce fractions
Step-by-step explanation:
The way they wrote this is kind of confusing. Home to library = 1 3/10 miles. That's halfway to the park, so the distance to the park is 1 3/10 + 1 3/10 = 2 6/10 miles.
Then she had to ride that same distance home, so add
2 6/10 + 2 6/10 = 4 12/10 = 5 2/10
If your teacher has you reduce fractions, then it's 5 1/5 miles.
The number of miles did marissa ride her bike in all should be 5 2/10 miles or 5 1/5 miles.
Calculation of the number of miles:Since
She lives 1 3/10 miles from the library.
So here the distance to the park should be
= 1 3/10 + 1 3/10
= 2 6/10 miles.
Now we basically add it
= 2 6/10 + 2 6/10
= 4 12/10
= 5 2/10
hence, The number of miles did marissa ride her bike in all should be 5 2/10 miles or 5 1/5 miles.
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Jen sells flowers. She charges $2 per flower plug a $3 flat delivery fee. How many flowers did she deliver if she made $21?
Answer:
4 1/2 flowers
Step-by-step explanation:
2 + 3 = 5 and 4 x 5 = 20 and plus half a flower.
PLs HALP will give brainliest
Answer:
C. 1/3x - 9
Step-by-step explanation:
Ok so....
-3 + -6 is just -9 so instead of writing all that we can just write -9.
So what you should have now should look something like this
2/3x - 1/3x - 9 ( I just put it in a different order )
So now we can see things in common. Which is the 2/3x and the 1/3x. When you subtract both of them it will give you a total of 1/3x. *NOTE : WE DO NOT SUBTRACT THE 9 WITH IT BECAUSE IT IS NOT COMMON WITH THE OTHER NUMBERS* Now your problem should look like this
1/3x - 9
Which is the answer!!
TAADAA!!
Hope this helps. Have a good day!
9+3+8+100+12+100+12+34+28+
Answer:
306
Step-by-step explanation:
LOL
Answer:
306
Step-by-step explanation:
so 9+3=12+8+100=108+12=120+34=154+28=182 then u add it all together
Pls help I’ll brain-lest ASAP
P = 2( L + W )
-divide both sides by 2
P/2 = L + W
-subtract L from both sides
P/2 - L = W
or
(P - L) / 2 = W
Consider a sample with data values of 27, 24, 21, 16, 30, 33, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles. 20th percentile 20 Correct: Your answer is correct. 25th percentile 21 Incorrect: Your answer is incorrect. 65th percentile 27.5 Incorrect: Your answer is incorrect. 75th percentile 28 Incorrect: Your answer is incorrect.
Answer:
[tex]P_{20} = 20[/tex] --- 20th percentile
[tex]P_{25} = 21.75[/tex] --- 25th percentile
[tex]P_{65} = 27.85[/tex] --- 65th percentile
[tex]P_{75} = 29.5[/tex] --- 75th percentile
Step-by-step explanation:
Given
27, 24, 21, 16, 30, 33, 28, and 24.
N = 8
First, arrange the data in ascending order:
Arranged data: 16, 21, 24, 24, 27, 28, 30, 33
Solving (a): The 20th percentile
This is calculated as:
[tex]P_{20} = 20 * \frac{N +1}{100}[/tex]
[tex]P_{20} = 20 * \frac{8 +1}{100}[/tex]
[tex]P_{20} = 20 * \frac{9}{100}[/tex]
[tex]P_{20} = \frac{20 * 9}{100}[/tex]
[tex]P_{20} = \frac{180}{100}[/tex]
[tex]P_{20} = 1.8th\ item[/tex]
This is then calculated as:
[tex]P_{20} = 1st\ Item +0.8(2nd\ Item - 1st\ Item)[/tex]
[tex]P_{20} = 16 + 0.8*(21 - 16)[/tex]
[tex]P_{20} = 16 + 0.8*5[/tex]
[tex]P_{20} = 16 + 4[/tex]
[tex]P_{20} = 20[/tex]
Solving (b): The 25th percentile
This is calculated as:
[tex]P_{25} = 25 * \frac{N +1}{100}[/tex]
[tex]P_{25} = 25 * \frac{8 +1}{100}[/tex]
[tex]P_{25} = 25 * \frac{9}{100}[/tex]
[tex]P_{25} = \frac{25 * 9}{100}[/tex]
[tex]P_{25} = \frac{225}{100}[/tex]
[tex]P_{25} = 2.25\ th[/tex]
This is then calculated as:
[tex]P_{25} = 2nd\ item + 0.25(3rd\ item-2nd\ item)[/tex]
[tex]P_{25} = 21 + 0.25(24-21)[/tex]
[tex]P_{25} = 21 + 0.25(3)[/tex]
[tex]P_{25} = 21 + 0.75[/tex]
[tex]P_{25} = 21.75[/tex]
Solving (c): The 65th percentile
This is calculated as:
[tex]P_{65} = 65 * \frac{N +1}{100}[/tex]
[tex]P_{65} = 65 * \frac{8 +1}{100}[/tex]
[tex]P_{65} = 65 * \frac{9}{100}[/tex]
[tex]P_{65} = \frac{65 * 9}{100}[/tex]
[tex]P_{65} = \frac{585}{100}[/tex]
[tex]P_{65} = 5.85\th[/tex]
This is then calculated as:
[tex]P_{65} = 5th + 0.85(6th - 5th)[/tex]
[tex]P_{65} = 27 + 0.85(28 - 27)[/tex]
[tex]P_{65} = 27 + 0.85(1)[/tex]
[tex]P_{65} = 27 + 0.85[/tex]
[tex]P_{65} = 27.85[/tex]
Solving (d): The 75th percentile
This is calculated as:
[tex]P_{75} = 75 * \frac{N +1}{100}[/tex]
[tex]P_{75} = 75 * \frac{8 +1}{100}[/tex]
[tex]P_{75} = 75 * \frac{9}{100}[/tex]
[tex]P_{75} = \frac{75 * 9}{100}[/tex]
[tex]P_{75} = \frac{675}{100}[/tex]
[tex]P_{75} = 6.75th[/tex]
This is then calculated as:
[tex]P_{75} = 6th + 0.75(7th - 6th)[/tex]
[tex]P_{75} = 28 + 0.75(30- 28)[/tex]
[tex]P_{75} = 28 + 0.75(2)[/tex]
[tex]P_{75} = 28 + 1.5[/tex]
[tex]P_{75} = 29.5[/tex]
if (2x+3):(3x+2)=5:7,find the value of x
Answer:
Given: The mean of x + 2, 2x + 3, 3x + 4 and 4x + 5 is x + 2
Mean = 4(x+2)+(2x+3)+(3x+4)+(4x+5)
⇒x+2=410x+14
⇒4x+8=10x+14
⇒6x=−6
⇒x=−1
2. A 30-foot tree broke from its base and fell against a house. If the tree touches the house at a height of 21
feet, how far is the base of the tree from the house? Leave your answer in the simplest radical form.
A. 51 square root 3
B. 9 square root 17
C. 3 square root 51
D. 21.42
Answer:
C
Step-by-step explanation:
twice the square root of a number is 12
Let us assume that the number is X
According to the statement:
2✓x = 12
Divide both sides by 2;
✓2 = 6
Square both sides,
x² = 6²
X = 36
Hence the required number is 36.
simplify 7/341 and give step by step explanation! I will mark you a brainliest.
Answer:
it can't be simplified
Step-by-step explanation:
Which expression is undefined?
Answer:
C. 4/0
Step-by-step explanation:
You can't divide 4 by 0.
A. you would have gotten -0.5
B. you would have gotten 0
D. you would have gotten 0
Hope this help!! :)
Answer:
C. [tex]\frac{4}{0}[/tex]
Step-by-step explanation:
you cannot divide by zero, therefore option C is the correct choice because [tex]\frac{4}{0}[/tex] means 4 ÷ 0.
if 0 was the numerator, like in [tex]\frac{0}{4}[/tex] or 0 ÷ 4, the answer would be 0 because 0 divided by 4 is 0. this can be kind of confusing at times, but just remember that as long as 0 is the denominator in a fraction (meaning the 0 is under the fraction bar), the answer will always come out as undefined because you can't divide by 0.
i hope this helps! have a great day <3
Ms. Jones is making the yearbook. She has 7 pages with 153 photos on each
page. How many photos are there in the whole yearbook?
Answer:
1,071
Step-by-step explanation:
7 × 153 = 1071
plese follow me
what is estimate the product of 19.8 and 5 by grounding each factor to nearest whole number
Given:
The two numbers are 19.8 and 5.
To find:
The estimated product of given numbers by rounding each factor to nearest whole number.
Solution:
Two number are 19.8 and 5.
On rounding the given numbers to the nearest whole number, we get 20 and 5.
Now, the estimated product is
[tex]20\times 5=100[/tex]
Therefore, the estimated product of given numbers is 100.
harriet is 2 years less than a thirnd of her brothers ace. Harriet is 3 years ols. How old is her brother? please help right now
Answer:
her brother is 15 years old
Step-by-step explanation:
let 'b' = her brother's age
Harriet is 3 years old but Harriet is also '1/3b - 2'
3 = 1/3b - 2
5 = 1/3b
b = 5(3) or 15
Jenny deposits $50,000 into an account that pays simple interest at a rate of 2% per year.
Frank deposits $50,000 into an account that also pays 2% interest per year. But it is compounded annually.
Find the interest Jenny and Frank earn during each of the first three years.
Then decide who earns more interest for each year.
Assume there are no withdrawals and no additional deposits.
Answer:
Jenny will earn $ 1,000 in interest each year, while Frank will earn $ 1,000 the first year, $ 1,020 the second, and $ 1,040.40 the third.
Step-by-step explanation:
Since Jenny deposited $ 50,000 into an account that pays simple interest at a rate of 2% per year and Frank deposited $ 50,000 into an account that also pays 2% interest per year but it was compounded annually, to find the interest Jenny and Frank earn during each of the first three years and decide who earns more interest for each year assuming there are no withdrawals and no additional deposits, the following calculation must be performed:
Jenny:
Year 1 = 50,000 x 1.02 = 51,000
Year 2 = 50,000 x 1.02 = 51,000 + 1,000 = 52,000
Year 3 = 50,000 x 1.02 = 51,000 + 2,000 = 53,000
Frank:
Year 1 = 50,000 x 1.02 = 51,000
Year 2 = 51,000 x 1.02 = 52,020
Year 3 = 52,000 x 1.02 = 53,060.40
Consider the function f(x) =
9-x²/x² - 4
For which intervals is f(x) positive? Check all that apply.
1 (-00, -3) )
(-3, -2)
0 (-2, 2)
(2,3)
(00, 3)
Answer:
a c
Step-by-step explanation:
-a^2+7b^4-2c^3 if a= -4 b= -2 and c=-3
Step-by-step explanation:
-(-4)²+7(-2)⁴-2(-3)³
=16+7(16)-2(-27)
=15+112+54
=181
The evaluation of the expression is 150.
What is an expression?In mathematics, expression is the combination of variables with the application of operations and prescribed rules. It might take the shape of an equation, some numbers, etc.
The given expression is:
-a² + 7b⁴ -2c³
Substituting, a= -4 b= -2 and c=-3
-a² + 7b⁴ -2c³
= -(-4)² + 7(-2)⁴ -2(-3)³
= -16 + 7 x 16 + 54
= 150
Therefore, the value of the expression is 150.
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help pls!!!!!!!!!!!!!!!!
Answer:
b 3.13
Step-by-step explanation:
did this beofer
Answer:
B = 3.13
Step-by-step explanation:
The graph below shows it's peak/highest which takes about 1.5 seconds. Then it take about 3.13 seconds to hit the ground.
Therefore your answer is B - 3.13
A large university accepts 60% of the students who apply. Of the students the university accepts, 30% actually enroll. If 30,000 students apply, how many actually enroll?
Answer:
Your answer is
60% apply means 30k *0.6= 18000
30% enroll so,.0.3*18k = 5400
Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.
I need that urgently.
Answer:
5400 students
Step-by-step explanation:
well 60% of 30000 would be 18000 which is the amount who gets accepted. 30% of 18000 would be who actually enrolls
the nth term of a sequence is given by an²+bn where a and b are integers the 2nd term of the sequence is 2 4th term of the sequence is 20. find the 6th term of the sequence
Answer:
54
Step-by-step explanation:
Tn = an²+bn
T2 = a2²+2b
2 = 4a +2b
Multiply all through by 2
4 = 8a +4b
4b = 4-8a
T4 = a4² + 4b
20 = 16a +4b
4b = 20-16a
4-8a = 20-16a
16a -8a = 20-4
8a = 16
a = 16/8 = 2
4b = 4-8a = 4-8(2) = 4-16 = -12
b = -12/4 = -3
T6 = a6² + 6b
T6 = 2(36) + 6(-3) = 72 -18 = 54
Answer:
54
Step-by-step explanation:
The product of an irrational number and a rational number will be
Answer:
an irrational number
Step-by-step explanation:
Which expression is equivalent to -32^3/5?
Answer:
the first one
Step-by-step explanation:
What percent of the shaded checker board squares do not have pieces?
VERY URGENT PLEASE
The 25% of the shaded checker board has pieces on it.
What percent of the shaded checker board squares do not have pieces?To check that, we need to solve the expression below:
Percent = 100%*(# shaded squares with pieces)/(total # of shaded squares)
There are a total of 32 shaded squares, and in 8 of them we can see pieces, then we can replace these values in the formula above to get:
Percent = 100%*(8/32) = 25%
That is the percent of the shaded checker that has pieces.
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Take a two digit number represented by ab, such that neither a nor b is zero and a is not equal to b. Reverse the digits and add the result to the original number. Divide this sum by a+b. What is the quotient?
Answer:
11
Step-by-step explanation:
We can have any. two numbers that represent a and b
It CANT BE THIS FOLLOWING
A AND B CANT BE ZERO SO WE CAN USE MULTIPLES OF 10
A CANT BE EQUAL TO B SO WE CANT USE MULTIPLES OF 11( ALL THE WAY UP TO 99 BUT WE CANT USE ANY NUMBER AFTER THAT SINCE NUMBERS THAT COME AFTER 99 ARE THREE DIGIT NUMBER)
Let use 5 and 6.
56
Reverse the digits
65
add 56 to 65
121
Divide this by 6+5=11
The answer is 11 This vary for all answers let use 1,7
17 then reverse
71 then add 71 and 17
88 then divide by 1+7=8
11
The quotient is 11.
Step-by-step explanation:
Given:
A two-digit number,'ab'.
Where a and b are non-zero and are unequal to each other.
To find:
Quotient after dividing the sum of the given digit and its reverse with(a+b).
Solution:
The given digit = [tex]ab = (10a+b)[/tex]
[tex]Where:\\a \neq b, a\neq 0,b\neq 0[/tex]
On reversing the given digit =[tex]ba = (10b +a)[/tex]
Now adding the given digit and its reverse:
[tex]= ab +ba = (10a+b)+(10b+a)\\=(11a+11b)=11(a+b)[/tex]
Diving the sum with (a+b):
[tex]=\frac{11(a+b)}{(a+b)}=11[/tex]
The quotient is 11.
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