Answer:
John spends $23.60 at the barbershop.
Step-by-step explanation:
convert all % to decimals (/100)
0.2 x 25 = 5
25 - 5 = $20
0.18 x 20 = 3.6
20 + 3.6 = $23.6
Marcy has $1600 to invest at 8% annual interest compounded monthly. how long will it take her investment to grow to $2400?
It will take about 5 years for her investment to grow to $2400.
The formula for calculating the compound amount is expressed according to the equation;
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
A is the amount after t years = $2400P is the amount invested = $1600r is the rate = 8% = 0.08t is the time in yearsn is the compounding time = 12 (monthly)Substitute the given parameters into the formula to have:
[tex]2400=1600(1+\frac{0.08}{12} )^{12t}\\1.5=(1+0.00667)^{12t}\\[/tex]
Take the natural logarithm of both sides
[tex]ln(1.5)=12tln(1.00667)\\12t=\frac{ln(1.5)}{ln(1.00667)}\\t = \frac{0.4054}{0.07977}\\t= 5.082years[/tex]
Hence it will take about 5 years for her investment to grow to $2400
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(a) The perimeter of a rectangular parking lot is 288 m. If the width of the parking lot is 65 m, what is its length? Length of the parking lot:
Answer:
79 m
Step-by-step explanation:
We know that
Perimeter of rectangle = 2(l + b)
=> 288 = 2(l + 65)
=> 288/2 = l + 65
=> 144 = l + 65
=> 144 - 65 = l
=> 79 = l
Hence,
Length of rectangle is 79 m
Answer:
Length of parking lot = 79m
Explanation:
2 × length + 2 × breadth = perimeter of rectangle
2 × length + 2 × 65 = 288
2 × length + 130 = 288
2 × length = 288 - 130
= 158
length = 158 ÷ 2
= 79
I don’t understand someone please give me answer
Which would be the most suitable viewing window to solve the system below?
The solution of the system belongs to -1 ≤ x ≤ 1, -1 ≤ y ≤ 1.
Given a system of the equations:
x/3 + y/2 = 1/3 .... (1)
(5x)/6 - (3y)/4 = 1/6 ....(2)
Multiply 5/2 to equation (1) then subtract from equation (2), we get,
(5y)/4 + (15y)/8 = 5/6 - 1/6
(10y + 15y)/8 = 4/6
(25y)/8 = 4/6
25y = 4/6 x 8
y = 32/150
y = 0.21
To find the value of x,
x/3 + 32/300 = 1/3
x/3 = 1/3 - 32/300
x = 3(1/3 - 32/300)
x = 1 - 32/100
x = 0.68
From the given choices,
-1 ≤ x ≤ 1, -1 ≤ y ≤ 1.
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What is 0.02349 written in standard form to 3 significant figures
[tex] \: \: [/tex]
b. 2.34 × 10 ^-20.0234 written as scientific notation is 2.349 × 10-2.hope it helpsAnswer:
b. 2.34 x 10 ^-2
Step-by-step explanation:
0.0234 written as scientific notation is 2.349 x 10-2
Write the equation of the line that passes through the points (2,6) and (-5,4)
Answer:
y=2/7 x+38/7
Step-by-step explanation:
equation of the line y =ax+b;
a = 4-6/ -5-2
A scale drawing of a house shows a closet with floor dimensions of 4.4 cm by 3.2cm. The scale from the drawing to the actual closet is 2cm for every 1m. WhT is the actual area of the closets floor
The actual area of the closet floor is 3.52m.
What is a rectangle?A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees.
It has different lengths and widths.
We have,
Closet dimensions:
Length = 4.4 cm
Width = 3.2 cm
We need to convert the unit cm into meters.
We are given that,
2cm = 1m
Multiply 4.4/2 on both sides
4.4 cm = 4.4/2 x 1m
4.4 cm = 2.2 m
Length = 2.2m
Multiply 3.2/2 on both sides.
3.2 cm = 3.2/2 x 1m
3.2 cm = 1.6 m
Width = 1.6m
The actual area of the closet:
= length x width
= 2.2m x 1.6m
= 3.52m
Thus the actual area of the closet floor is 3.52m.
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5 rubber stamps cost $9.70.
Which equation would help determine the cost of 11 rubber stamps?
Answer:
none of the above
Step-by-step explanation:
it should be: 9.70/5 = 11/x
Answer:
e
Step-by-step explanation:
Solving quadratic formulas
8y²-30y+27=2
Mathematic 18 don’t understand
Answer:
8 x 10¹³ is your answers hopes it's helpful to you
Which expression is equivalent to 10 ( – 5 x + 3) – 2x
Step-by-step explanation:
well, we just do the multiplication and simplify by combining terms with the same base :
10(-5x + 3) - 2x = -50x + 30 - 2x = -52x + 30
Hence, -52x + 30 is the evaluated expression.
Hoped this helped.
3. Elena had 12 hours working at home daily as a full-time wife and mother. She
spent 12.5% of the time washing clothes. How many hours did she wash the
clothes?
Answer:
Elena spends 1.5 hours washing clothes.
Step-by-step explanation:
12.5 / 100 = 0.125
0.125 x 12 = 1.5
Define a variable and write an expression for the phrase. 7 less than a number
Answer:
Step-by-step explanation:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Each side of the triangle is represented by an expression. Find the value of x is the triangle has a perimeter of 73.
Answer:
Step-by-step explanation:
The answer is 27
The value of x is 4.
What is the perimeter of a triangle?The perimeter of a polygon is the total length of the boundary. For a triangle, we can find it by adding the lengths of its three sides. We can find the length of the fencing required for a triangular park by finding the perimeter of the triangle.
The triangle has a perimeter of 73.
[tex]7x-2+3x+9+8x-6=73\\18x+1=73\\18x=72\\x=4[/tex]
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PLEASE HELP!!!
use the properties of exponents to determine the value of a for the question: 3 square root x over x 1/3 =x^a
Answer:
a = 0
Step-by-step explanation:
The cube root (radical) is equivalent to x^(1/3). When that is divided by x^(1/3), the result is ...
(x^(1/3))/(x^(1/3)) = x^(1/3 -1/3) = x^0
Comparing that to x^a, we find a=0.
_____
The applicable rules of exponents are ...
[tex]\sqrt[n]{x^m}=x^{\frac{m}{n}}\\\\\dfrac{x^a}{x^b}=x^{a-b}[/tex]
WILL GIVE BRAINLYIST
Andre is in charge of cooking broccoli and zucchini for a large group. He has to spend all $17 he has and can carry 10 pounds of veggies. Zucchini costs $1.50 per pound and broccoli costs $2 per pound. One graph shows combinations of zucchini and broccoli that weigh 10 pounds and the other shows combinations of zucchini and broccoli that cost $17.
Graph
A combination of veggies that costs $17 but does not weigh 10 pounds.
Select all that apply.
Group of answer choices
D. 10 pounds of zucchini and 1 pound of broccoli
B. 4 pounds of zucchini and 6 pounds of broccoli
A. 6 pounds of zucchini, and 4 pounds of broccoli
C. 2 pounds of zucchini and 7 pounds of broccoli
Answer:
its A
Step-by-step explanation:
What is 7x + 15 = 9x + 15 - 2x + 1 and how many solutions are there
Answer:
no solutions
Step-by-step explanation:
7x + 15 = 9x + 15 - 2x + 1
Combine like terms
7x+15 = 7x+16
Subtract 7x from each side
7x+15-7x = 7x+16-7x
15 =16
This is not a true statement so there are no solutions
I need help with this without links
Answer:
36°
Step-by-step explanation:
I used an online protractor to solve it
maria's garden measures 14 feet by 16 feet and has a perimeter of 60 feet. Musharraf's garden measures 10 yards by 4 yards. What is the difference between the two perimeters?
The difference between the two perimeters is 32 yards.
Maria's garden measures 14 feet by 16 feet and has a perimeter of 60 feet.
Musharraf's garden measures 10 yards by 4 yards. The perimeter will be:
= 2(10 + 4)
= 2 × 14
= 28 yards
The difference will be:
= 60 - 28
= 32 yards.
If the measure of central angle is 57 degrees, what is the measure of its intercepted arc? (just write the number, no degrees)
If a central angle measures 57 degrees, based on the angle-arc relationship, the measure of its intercepted arc = 57 degrees.
Recall:
The image attached below shows the relationship between the measure of the central angle and its intercepted arc. Measure of central angle = its intercepted arc.Thus, if the measure of a central angle = 57 degrees, based on the angle-arc relationship, the measure of its intercepted arc will also be 57 degrees.
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What is the equation for the line in slope-intercept form
Answer:
y=-2x-4
Step-by-step explanation:
Which equation is equivalent to the formula m = ca? a = cm a equals m over c c = am c equals a over m.
Answer:
a = m/c
Step-by-step explanation:
I translated the paragraph into these options. Please check accuracy.
m = ca?
a = cm No, a = m/c
a = m/c Yes
c = am No, c = m/a
c = a/m No, c = m/a
The option b which is [tex]a=\dfrac{m}{c}[/tex] is correct answer.
Given to us:
[tex]m=ca[/tex]
dividing both sides by c, we get
[tex]m=ca\\\\\dfrac{m}{c}=\dfrac{ca}{c}[/tex]
canceling c from right hand side, we get
[tex]\dfrac{m}{c}=a \\\\a=\dfrac{m}{c}[/tex]
Therefore, the option b which is [tex]a=\dfrac{m}{c}[/tex] is correct answer.
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Mrs. Eng bought 4 packs of glue sticks. Each pack has 5 glue sticks. Her class uses 2 of the glue sticks for a project. How many glue sticks are left?
Answer:
18 glue sticks are left.
Step-by-step explanation:
There are 5 glue sticks in each pack which means you multiply. 4*5=20. The class uses 2 glue sticks so 2 are removed. 20-2=18. i hope this helped !!! :) <3 !!
Simplify fully
A)
X^7 / X^3
B)
Y^5 / Y^4
Hi,
[tex]\frac{x^{a} }{x^{b} } =x^{a-b}[/tex]
a)
[tex]\frac{x^{7} }{x^{3} }= x^{7-3} = x^{4}[/tex]
b)
[tex]\frac{y^{5} }{y^{4} } = y^{5-4} = y^{1} = y[/tex]
;)
Question
Write an equation of the line passing through the point A(8, 2) that is perpendicular to the line y = 4x−7.
Answer:
y = m x + b equation of a straight line
m m' = -1 condition for perpendicular lines
If y = 4 x - 7 then m = 4 so m' = -.25
Y = -.25 X + A we need to find A
A = Y + .25 * 8 = 2 + 2 = 4
Y = -.25 X + 4
Check:
2 = -.25 * 8 + 4 = -2 + 4 = 2
What is the sum of -6 and 9?
Answer:
3
Step-by-step explanation:
-6+9=3
Jill said Eight times my age 3 years ago equals
104 How old is Jill now?
Answer:
13 yrs old
Step-by-step explanation:
104/8=13
Answer:
14 years ago
Step-by-step explanation:
birthday January 16
Please help me..........
Answer:
A. Angle E = 30° and angle D = 60°
Step-by-step explanation:
tan(E) = Opposite/Adjacent
tan(E) = 5/8.66
E = tan^-1(5/8.66)
E = 30°
There's 180° in a triangle, and this is a right triangle.
30 + 90 + x = 180
120 + x = 180
x = 180 - 120
x = 60
D = 60°
Select the correct answer.
Which equation best models the set of data shown in this table?
Х
0
2
4
6
00
8
10
12
14
16
18
11
19
у
27
35
37
40
44
45
48
52
OA. y = 11v– 0.3 + 4.3
OB.y = 1177 + 0.3 – 4.3
O c.
y = 23 + 17
OD. y = 2.3 – 17
Answer: I cannot tell what equations you are talking about.
Step-by-step explanation:
Please type in the equations instead of copying and pasting so we can know what the actual equation is. Thank you.
Answer: B
Step-by-step explanation:
Got it right
8. Steve rode 18 miles on his bike in 2 hours. Which shows Steve's average rate expressed as
a unit rate? (6.RP.2)
a.
4 miles / hour
b. 9 miles / 1 hour
c. 18 miles /2 hours
d. 36 miles / 4 hours
Answer: It would be b.
Step-by-step explanation: A unit rate means a expression for 1. If you take the ratio 2:18 and change it to 1:X, you divide both sides by 2, and X is 9 meaning Steve travels 9 miles per hour.