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Explanation:
15% of 15 = 0.15*15 = 2.25
The cost has increased by $2.25 which means the cost per kilogram is now 15+2.25 = 17.25 dollars
------------
As a slight shortcut, we can multiply the old cost (15) by the multiplier 1.15 to get the same result:
1.15*15 = 17.25
This method allows us to chain together many percentage increases, and it also allows us to include percentage decreases as well. Note how 1.15 is basically the result of 100% + 15% = 1.00+0.15 = 1.15
3(2^2x+3)-5(2^x+2)-156=0
Answer: [tex]x=3.0206[/tex]
Step-by-step explanation:
Given
[tex]3(2^{2x}+3)-5(2^x+2)-156=0[/tex]
Replace [tex]2^x[/tex] by [tex]y[/tex]
We can write
[tex]\Rightarrow 3(y^2+3)-5(y+2)-156=0\\\Rightarrow 3y^2+9-5y-10-156=0\\\Rightarrow 3y^2-5y-157=0\\\\\Rightarrow y=\dfrac{5\pm \sqrt{25-4(3)(-157)}}{2\times 3}\\\\\Rightarrow y=\dfrac{5+43.69}{6}\\\\\Rightarrow y=8.115\\\Rightarrow 2^x=8.115\\\therefore \quad x=3.0206[/tex]
Christopher rides his bike to and from school every day. The total distance he
rides each day is I mile.
What is the total number of miles that Christopher rides his bike over the 5-day
school week?
PLEASE HELP ME RNNN
Answer
5 miles
Step-by-step explanation:
If he rides his bike one mile each day school to home each day its going to be 1 mile per day so if its 5 days it is 5 miles
A science class has a ratio of 3 boys to 2 girls. Can there be 24 students in the class
Answer:
no
if you Let 3x be the number of boys
Let 2x be the number of girls
3x + 2x = 24
5x = 24
x = 4.8
3(4.8) = 14.4 boys
2(4.8) = 9.6 girls
There can't be 24 students for a ratio of 3 boys and 2 girls, because there can't be 14.4 boys and 9.6 girls, it has to be an exact number, otherwise it wouldn't make any sense
How many different permutations can be formed using all the digits in 012313?
answers:
60
180
360
720
Find the volume of the rectangular prism.
The volume is cm?
8 cm
5 cm
9 cm
Answer:
360 cm
Step-by-step explanation:
volume= length x width x height
8*5*9=360 cm
Answer:
360cm
Step-by-step explanation:
All you have to do is multiply the numbers.
To break it up, you can first multiply 8 and 5.
8 x 5 = 40.
Now that you have 40, multiply that by 9.
40 x 9 = 360.
Apply the unit: cm
360cm is your answer.
HELP ILL GIVE BRAINLIEST!!
Answer:
the answer is 8$
Step-by-step explanation:
Find the range of the given data below:
7, 10, 12, 11, 12, 10, 11, 13, 17, 13
Ans: 10
Answer: 10
Step-by-step explanation:
Arranged data
7,10,10,11,11,12,12,13,13,17
Range= Highest value - Lowest Vlue
Highest value=17
Lowest value =7
Range=17-7
Range=10
Answer:
[tex]Answer: 10
Step-by-step explanation:
Arranged data
7,10,10,11,11,12,12,13,13,17
Range= Highest value - Lowest Vlue
Highest value=17
Lowest value =7
Range=17-7
Range=10 [/tex]
hope it is helpful to you
Emeka is thrice as old as Dora and Dora is
7 years older than Dupe. If the sum of their
ages is 38, how old is Dupe?
A 2 years
years B 7 years
D 31 years E 73 years
C 9 years
Answer:
Step-by-step explanation:
let duke be x years
dora be 7+x years
and emeka be 3(7+x) years
according to question ur equation is
3(7+x)+7+x+x=38
21+3x+7+2x=38
28+5x=38
5x=38-28
x=10/5
x=2
Answer:
Step-by-step explanation:
3(7+x)+7+x+x=38
21+3x+7+2x=38
28+5x=38
5x=38-28=10
D.b.s by 5
10÷5=2
PLEASE HELP!!!! Write a solution for the equation 6x-8=4x
Answer:
X=4
Hope this helped some.
Answer:
4=X
Step-by-step explanation:
6X-8=4X
-8=-2X
-8/-2= 4X
8n + -3n = (8 + -3)n
Is this Distributive if it appears "backwards"?
Answer:
no it doesnt matter
Step-by-step explanation:
distributive property is correct
Please help with this ASAP
Answer:
7w^3/5v
Step-by-step explanation:
42v^3w^4/30v^4w
42 = 6 * 7
30 = 6*5 , factor
6*7v^3w^4/6*5v^4w
6 is common, cancel
7v^3w^4/5v^4w
simplify w^4/w = w^3
v^3/v^4 = 1/v
therefore, 7w^3/5v is the answer
what is 423/6 as a mixed number
Divide to get 70.5
turn into fraction
70 5/10=
70 1/2
Answer:
70 1/2
Step-by-step explanation:
first you have to divide 423 into 6 and then the remainder is the fraction so the answer is 70 5/10 or 70 1/2, same thing
The line passes through the points (0, 2) and (-2, 2) is parallel to the line:
Answer:
Undefined
Step-by-step explanation:
you can't divide by 0
(-2-0)/(2-2)
The most Stanley can afford to pay per year in mortgage payments is $12,000, and his credit score is currently 544. According to the following table for a $150,000 mortgage, by how many points would he need to improve his credit score in order to take a mortgage for $150,000? FICO Score 720-850 700-719 675-699 620-674 560-619 500-559 Interest Rate 5.59% 5.71% 6.25% 7.40% 8.53% 9.29% Monthly Payment $860 $872 $924 $1,039 $1,157 $1,238 O A. 156 points OB. 131 points O C. 76 points O D. 14 points
The answer is not listed in the options. The credit score points are 170.
What is a credit score?To determine the answer, we need to find the interest rate and monthly payment associated with Stanley's credit score of 544.
Since Stanley's credit score is not listed in the table, we need to estimate the interest rate and monthly payment based on the information provided. Generally, the lower the credit score, the higher the interest rate and monthly payment.
Let's assume that Stanley's interest rate would be 10% and his monthly payment would be $1,000 based on his credit score of 544.
Using the table, we can see that for a $150,000 mortgage with a 10% interest rate, the monthly payment would be $1,316.
Now, we need to determine how much Stanley can afford to pay per year in mortgage payments, which is $12,000. We can divide $12,000 by the monthly payment of $1,316 to get the number of payments he can make in a year: $12,000 ÷ $1,316 = 9.12 payments.
Since there are 12 months in a year, Stanley can only make 9 payments per year. Therefore, he can only afford a mortgage with 9 payments of $1,316, which is $11,844 per year.
To afford a $150,000 mortgage, Stanley would need to lower his interest rate or increase his monthly payment. Since he cannot afford a higher monthly payment, he would need to improve his credit score to lower his interest rate.
Looking at the table, we can see that the interest rate associated with a credit score of 675-699 is 6.25%, which would result in a monthly payment of $924. To afford a $150,000 mortgage with a monthly payment of $924, Stanley would need to improve his credit score by 544 - 675 + 1 = 170 points.
Therefore, the answer is not listed in the options.
To know more about credit scores follow
https://brainly.com/question/30237003
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A cable 27 feet long runs from the top of a utility pole to a point on the ground 16 feet from the base of the pole. How tall is the utility pole?
Answer: 31.38
Step-by-step explanation:
you can always remember a*2+b*2=c*2
add/ multiply a and b to find c
Stewart has 18 birds remaining in avery. However he did have 29 until Tim left the door open. There are 8 blue birds and 4 Galahs. What percentage flew away?
Answer:
37.9%
Step-by-step explanation:
percentage that flew away = number that flew away /total number of birds x 100
number that flew away = 29 - 18 = 11
9/29 x 100 = 37.9%
Solve for 2. Round to the nearest tenth of a degree, if necessary, 7.2 D 10 9.4. B
Answer:
x=50°
use the sine rule to find the missing angle "x"
Please help with this
Answer:
A
Step-by-step explanation:
The best way to prove the answer is to equate the two equation and solve for the x-coordinate..however in these equation the x value is zero so the y value will alternatively be zero hence there lines consist of no points of intersection
what is the area of this octagon
Answer:
59cm^2
Step-by-step explanation:
first you can do 8x9 to get 72 then you can subtract 4x2 from 72 to get 64 and lastly you have to subtract 4 from 9 to get the area of the small rectangle on the left so you get 5 and then you have to get the width which is 4+3 from the top and subtract that from 8 on the bottom which is 1 so now you have 5x1 which is 5 and subtract that from 64 to get 59cm^2
hope this helps
While walking outside on a field trip 75%, or 15, of the students in the class wore jackets. Find the number of
students in the entire class.
Answer:
20
Step-by-step explanation:
Do 15 divided by 0.75
which quadratic equation has 2 and -3 as its roots ?
Answer:
alfa = 2
beeta = -3
product of zeros = 2x-3= -6
sum of zeros = 2+[-3] = -1
POLYNIMIAL = k[x²-[sum]+product]
=k[ x²-[-1] +[-6]]
= k[ x²+1 -6]
= x²-5
hence , the quadratic equation is x²-5
HERES UR ANS .
HOPE IT DOES HELP U
IF SO PLZ MARK THE BRAINLIESTT !!!!\
Help ASAP please !!!!
Answer:
1) 2 days
2) 11 days
3) may 16
5) 5 days
6) may 29th
Step-by-step explanation:
if someone can, check out my recent questions too please
Find the value of x with the other angles of 33 and 99
Answer:
48°
Step-by-step explanation:
33+ 99= 132
180 is the sum of all angles so u would subtract 132 from 180 giving you the answer
Answer:
If x is the last angle of a triangle, x=48. is its a just angles its, x=228.
Step-by-step explanation:
If it's a triangle its because triangle sum theorem states that all angles in a triangle add up to 180 degrees. So add the angles you know an subtract it from 180.
If it's just angels then you just need to again, add the angles you know but this time subtract it from 360 as that's he most degrees an angle can go.
Prove that the values of unknown are correct. I need the answer fasttt. 6x -10 =20.
Answer:
Step-by-step explanation:
6x-10=20
6x=20+10
x=30/6
x=5
to prove 6x-10=30
substitute the value of x
6x-10
6*5-10
30-10
20
20=20 hence proved.
Write the missing terms (in the given order of missing):
3x-___+ ____+5y = 5x - y
A. 2x and 4y
B. 4y and 5x
C. 6y and 2x
D. 2x and 6y
C. 6y and 2x
_____________________________
3x - 6y + 2x + 5y =
3x + 2x + 5y - 6y =
( 3 + 2 )x + ( 5 - 6 )y =
5x - y
help fast please !!!!
Answer:
C=13
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2} \\\\5^{2} +12^{2} =c^{2}[/tex]
HELP ASAP
Solve for x.
x = [?]
X - 6
8x + 24
Answer:
x=18
Step-by-step explanation:
Both angles are supplementary angles and form 180
Set your formula up as following
(x-6) + (8x+24) = 180
x+8x-6+24=180
9x=180+6-24
9x=162
x=162/9
x=18
Now substitute 18 for x to get your angles and check your work .
what is the chancr of rolling a 7 or a 9 on two dice .
Answer:
5/18 0r 27.77%
Step-by-step explanation:
I am assuming both are six-sided and have numbers 1-6 on each of the six sides. There are 36 possible roll combinations. Of the 36, four result in 9 and six result in 7. Therefore there is a 10/36 chance of rolling a 7 or a 9. That can be simplified however by dividing by two on both numbers. That equals 5/18. As a percent you would divide 5 by 18 and get 0.2777. After that you multiply 0.2777 by 100 to get 27.77%.
How much do I spend if I use $20 off coupon on my purchase of $97.43
Bobby mows his neighbors' lawns to raise money to buy a new bike. He charges $5 and then $10 for each hour it takes him to mow the yard. He uses the equation C=5+10h to calculate costs. How many hours does he have to mow for if the bike costs $165?
Answer:
$16
Step-by-step explanation:
Given data
Flat Charge= $5
Fee per hour= $10
The expression describing the total cost is
C= 5+10h
For C=$165, we can find h as
165=5+10h
165-5=10h
160=10h
h= 16
Hence the cost per hour would be $16