(a^-7 • b^-2)^-9
(1/a^7 • 1/b^2)^-9
(1/a^7•b^2)^-9
(a^7•b^2)^9
a^63 • b^18
Julie borrowed money to repair her home. She borrow $3000 less from her Uncle than her Aunt. The money
she borrowed from her Aunt was at 2.2% simple interest. The money she borrowed from her Uncle was at
4.5% simple interest. Julie paid the loans back in 3 years. She paid $2007 in interest. How much did Julie
borrow from her Aunt and how much from her Uncle?
Julie borrowed $12,000 from her aunt and $9000 from her uncle
Note the formula for simple interest = principal x time x interest rate
This question would be solved using simultaneous equation.
Two equations can be derived from the question
a - b = 3000 equation 1
(0.022 x 3 x a) + (0.045 x 3 x b) = 2007
0.066a + 0.135b = 2007 equation 2
where
a = amount borrowed from aunt
b = amount borrowed from uncle
Multiply equation 1 by 0.066
0.066a - 0.066b = 198 equation 3
subtract equation 3 from 2
0.201b = 1809
divide both sides of the equation by 0.201
b = 9000
Substitute for b in equation 1
a - 9000 = 3000
a = 9000 + 3000
a = 12,000
To learn more about simultaneous equations, please check : https://brainly.com/question/15165519?referrer=searchResults
PLEASE HELP 12 POINTS
A local hamburger shop sold a combined total of 709 hamburgers and cheeseburgers on Wednesday. There were 59 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Wednesday?
5) Emily woks Monday through Friday at a rate of $16.12 per hour. She takes a 1-hour lunch break. If she
clocks in each day at 6:15 A.M. and leaves at 4:15 P.M., what is her total pay for the week? (show your
work)
Answer:
$
725.40
Step-by-step explanation:
Since, every day she works from 6:15am to 4:15pm
this will put her working to 10 hrs a day and subtracting 1 hr break, the total working period would be 9 hrs a day.
And, total working hours per week would be (9*5) hrs = 45 hrs
thus, her total salary per week would be $(45*16.12) = $725.40
which figures have rotation Cemetery
Need help with # 12 for distance/ midpoints formula. And another problem for #1 distance, segment and radicals ? Please help
Step-by-step explanation:
#12
PQ = 6x + 25
QR = 16 - 3x
PR = 6x + 25 + 16 - 3x
PR = 3x + 41
#1
D = √(-4 - 5)² + (-7 - 2)²
D = √(-9)² + (-9)²
D = √81 + 81
D = √162
D = 9√2
0.43 of Austin's text
messages were from his
dad. What is this decimal
as a fraction, in lowest
terms?
Answer:
[tex]\frac{43}{100}[/tex]
Step-by-step explanation:
We just convert 0.43 to [tex]\frac{43}{100}[/tex] since it's 0.43 and not any other decimal (e.g. 1.43 would be [tex]\frac{143}{100}[/tex] if you get what I mean).
Please help with this question 10 points!!!!
Sole for y
k = p/2(y+w)
y =
Answer:
Answer: y = (2k -pw)/p
Step-by-step explanation:
[tex]k = \frac{p}{2} (y + w)[/tex]
multiply 2 on both sides:
[tex]k \times 2 = 2 \times \frac{p}{2} (y + w) \\ \\ 2k = p(y + w)[/tex]
open the bracket:
[tex]2k = py + pw[/tex]
subtract pw from both sides:
[tex]2k - pw = (py + pw) - pw \\ 2k - pw = py[/tex]
divide p on both sides:
[tex] \frac{2k - pw}{p} = \frac{py}{p} \\ \\ y = \frac{2k - pw}{p} [/tex]
Answer:
[tex]\pi {y}^{ \alpha \: so \: y = k} [/tex]
you had $430 but you are spending $8 each day which algebraic expresion describes this situation where d represents the number of days
Answer: 430-8d
Step-by-step explanation:
you start with 430 dollars and you spend 8 a day. you multiply 8 by the number of days and subtract that from 430.
The algebraic expression that describes the situation is 430 - 8d.
Given,
You have $430 but you are spending $8 each day.
We need to find the algebraic expression that describes this situation where d represents the number of days.
What is an algebraic expression?An algebraic expression is an expression which is made up of variables and constants.
Find the algebraic expression.
Total amount = $430
Amount spend each day = $8
Let the number of days be denoted by: d
If $8 is spent daily then 8d represents the amount spent for d days.
Now,
$430 is the amount from which the money has to be spent so,
430 - 8d is the required algebraic expression.
Thus the algebraic expression that describes the situation is 430 - 8d.
Learn more about how to make algebraic expressions here:
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A firefighter training course is taking place in a high-rise building. The high-rise building where they practice is 48 stories high. If the emergency happens on the top floor and the firefighters have already gone 29 stories, how many stories do they still need to go?
Answer:
29 stories - 49 stories = number of stories they need to go
28 - 49 = 21
the answer is 21
they have 21 more stories to go
The number of stories they still need to go is 19 stories.
It is given that building is 48 stories high and when the emergency happens they have already gone to 29 stories.
We have to calculate the number of stories they still need to go.
What will be the value, if we subtract 2 from 4 ?
The value after subtracting will be 4 - 2 = 2.
As per the question ,
The total number of stories in building = 48
When emergency happens they have already gone 29 stories.
So ,
The number of stories they still need to go after the emergency happens can be calculated as ;
48-29 = 19
Thus , they still need to go 19 stories.
To learn more about subtraction click here ,
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1 .what is the value of x?
2 .what is the value of y ?
Answer:
ans of y is 3 because 12-3=9
Using the order of operations, what should be done first to evaluate (-2)+4= (-15 +9)(3) - 4?
O Add -15 and 9.
O Divide 4 by -15.
O Subtract 4 from 3.
O Multiply 9 by 3.
the sum of twice the first number and three times the second is 10 the sum of one seventh the first number and two thirds the second number is -2. what are the numbers?
uhm wait cz I think I had made a mistake and I need to fix it
Solve the equation
6x + 8 = 44
What is the solution set? Select the correct choice below and, if necessary, fill in the answer box within your choice.
Answer:
x = 6
Step-by-step explanation:
6x = 36
x = 6
hope that helps
Answer:
6
Step-by-step explanation:
6x + 8 = 44
6x = 44 - 8
6x = 36
x = 6
therefore the right answer is 6
Long-Term Memory Review - Geometry Solve: 1. 99 = 33x + 3 (3 + 5) 2. 12z - (45 + 6) = 82 2. 2x + 3x = 62 4. 4n + 5 = 6 + 7 5. 23.m - 5 = 21m + 5 6. 30 - 8 = 13 - 4p 7. 171 – 3 + 172 + 8 = 175 8. f + 41 + f +78 = 95 9. 3x + 18 + 93 = 120 10. 6x + 2 + 40 = 90 11. k + 37+ k + 67 + 90 = 180 12. 3w - 6 + 8 + 4 + 50 = 180 13,8 + 6x = 4x + 2 + 30 14.46 + 8h - 1 = 18h + 5 15.9% - 2 + 12x - 4 = 20% + 5
Answer:
Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Use the edit icon to pin, add or delete clips.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Use the edit icon to pin, add or delete clips.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Use the edit icon to pin, add or delete clips.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Use the edit icon to pin, add or delete clips.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Use the edit icon to pin, add or delete clips.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Use the edit icon to pin, add or delete clips.
If 3.2x10^4 is the length of a park in meters and 2.5x10^6 is the width in meters, what is the area of the park if it is in the shape of a rectangle?
Answer:
area: A = 8 m^2
Step-by-step explanation:
Area of a rectangle: A = ab
Which of the following is written in correct scientific notation?
-4x10²
2.1 x 100
39 x 10
-0.3x10
please help i have to turn this in in the morning
-4 × 10² is written in correct scientific notation.
Alyssa bought 2 packs of football cards for $4.52 each, and a deck of Digimon cards
for $11.47 with two $20 bills. Alyssa found $7.72 in her pocket. How much change
did Alyssa get?
(4.52*2)+11.47
9.04+11.47
20.51
40-20.51= 19.49 before change in pocket
+7.72 =27.21 post change in pocket
Hello :D
2 x $4.52 = $9.04
$9.04 + $11.47 = $20.51
2 x $20 = $40.00
$40.00 - $20.51 = $19.49
With change:
$40.00 + $7.72 = $47.72
$47.72 - $20.51 = $27.21
HELP PLEEAASSEEE!!!!!!!
Drag the tiles to the correct boxes to complete the pairs.
Match the numbers in standard notation with the corresponding numbers in scientific notation.
If f(x)=−2(x+7), then what is f(−10)?
Answer:
f(-10) = 6
Step-by-step explanation:
f(x) is simply just the name of the function. x will be your dependent variable that you'll use to plug into the equation.
Since they want you to find f(-10), you'll then plug -10 in where x was and solve.
f(-10) = -2((-10)+7)
f(-10) = -2(-3)
f(-10) = 6
Answer:
[tex]→f(x) = - 2(x + 7) \\ f( - 10) = - 2( - 10 + 7) \\ f( - 10) =( - 2) \times ( - 3) \\ \boxed{f( - 10) = 6}✓[/tex]
f(-10)=6 is the right answer.What is the chance of finding a 5-leaf clover?? It is Math Now!!
[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]
The 5-leaf clover, known locally in Ireland as the 'Rose clover' is an extremely rare find. People say that the chance of finding this rare clover is only 1 in a million. Apart from this, the 6-leaf clover is even rarer.
[tex]\boxed{\underline{\bf \: ANSWER}}[/tex]
The 5-leaf clover is an extremely rare find / catch. Only about approximately 1 in a million people can find it. But, the 6-leaf clover & the clover with 2 leaves torn are even harder to find than the 5 leaf clover
_______
Hope it helps.
RainbowSalt2222
The simple interest on a sum of money in 2 years is Rs 90 less than its compound interest. If the rate of interest in a year is 15%, find the sum.
Answer:
hence, the req sum of amount is Rs 213.07
check both the files . and got any confusion then comment it .
hope this helped you
your cell phone plan cost 24.99 per month plus $19 for each text message you send or receive you have at most $34 to spend on your cell phone bill what is the maximum number of text message you can receive or sent
Answer:
1.
Step-by-step explanation:
You can't send two because it'd be 38
HELP DUE IN 5 MINS!
SOLVE FOR Y
2 = -3/10y - 7
Y = -9 *10/3 = -30
Minus of thirty (-30) is right answer
[tex]2 = \frac{ - 3}{10y} - 7 \\ \\ 2 + 7 = \frac{ - 3}{10y} \\ \\ 9 = \frac{ - 3}{10y} \\ \\ \frac{9 \times 10}{ - 3} = y \\ \\ \frac{ - 90}{3} =y \\ \\ - 30= y \\ \\ y = - 30[/tex]
one stick is 10cm longer than another, ⅖ of the longer stick is equal to ½ of the shorter stick. find the length of the longer stick
Answer:
50cm, the short stick is 40cm
Step-by-step explanation:
1/2 + 1/2 = 1
2/5 + 2/5 = 4/5
1/5 = 10 (because the tall stick is 10 cm taller than the other stick)
10 x 5 = 50
10 x 2 = 20
1/2 = 20
20 + 20 = 40
Pls help with part ii only thank you!!
Will report irrelevant and rubbish answers; will mark brainliest too:>
Answer:
Above is the solution.
Step-by-step explanation:
The solution above includes detailed explanations
Help with these answers please
Step-by-step explanation:
just try, donot know it will be right or wrong...
What time is shown on the clock?
Answer:
What's the question dude
12:40
Answer:
12:40 hope this will help u
have a great day
hey can you guys give me a list of what times 3 equal 25
Answer:
Nothing
Step-by-step explanation:
Nothing times 3 will equal 25
help me please I will mark brainliest :))
Answer:
MAR = 71°
Step-by-step explanation:
MAE 23°+ EAR 48°= MAR71°