Answer:
27
Step-by-step explanation:
Sara puts $4,000 into an investment yielding 5% annual simple interest; she left the money in for five years and 6 months. How much interest does Sara get at the end of those five years and 6 months?
Answer: [tex]\$1100[/tex]
Step-by-step explanation:
Given
Principal amount is [tex]P=\$4000[/tex]
Rate of interest [tex]R=5\%[/tex]
Time period [tex]T=5\ yr\ \text{and}\ \text{6 months}\equiv 5.5\ yr[/tex]
We know, Simple interest is
[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]
Putting values
[tex]\Rightarrow S.I.=\dfrac{4000\times 5\times 5.5}{100}=\$1100[/tex]
Sara gets [tex]\$1100[/tex] after 5 years and 6 months
Michael has $68. Craig has $24 less than Michael has. Michael spends $20 on a new hat. Part A: Write an equation where the solution represents the amount of money (x), in dollars, Craig has after Michael buys the hat. Explain how you came to this equation. Part B: Now, Craig buys some socks. He has $16 left. Write an equation where the solution represents the amount of money (y), in dollars Craig spent on socks. Show how you know this is the correct equation.
Answer:
a) x + 4 = 48
b) y + 16 = 44
Step-by-step explanation:
a) Michael has $28 and Craig has $24 less than Michael. Let x represent the amount of money that Craig has. Hence:
x = 68 - 24
x + 24 = 68
Given that Michael spends $20 on a new hat. Therefore we subtract 30 from both sides of the equation:
x + 24 - 20 = 68 - 20
x + 4 = 48
x = $44
b) If y represent the amount of money that Craig spent on buying socks. He has 16 remaining.
Therefore:
44 - y = 16
y + 16 = 44
y = $28
Represent each of these temperatures in degrees Fahrenheit with a positive or negative number.
5 degrees above zero
3 degrees below zero
6 degrees above zero
2 3/4 degrees below zero
If Angle 1 and 2 are complementary, and Angle 1 measures 33 degrees, what is the measure of Angle 2
Answer:
147
Step-by-step explanation:
you would do 180 subtracted by the given measurement.
Which equation is written in slope intercept form?
a) 2x + 8 = 4y
b) 2x + 7y = 1
c) y = - 4x + 11
d) x = x +4
I NEED HELP WITH THIS!!!! PlS HELP! I will mark you as b
Which transformation, when performed on the triangle ABC, will result in the transformed figure A'B'C being similar but NOT congruent to the original triangle?
Answer:
b. a dilation by a scale factor of 2
Step-by-step explanation:
Which transformation, when performed on the triangle ABC, will result in the transformed figure
A'B'C' being similar but NOT congruent to the original triangle?
a. a reflection over the x-axis
b. a dilation by a scale factor of 2
C.a translation two units to the right
d. a rotation 90° clockwise about the origin
Solution:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Rigid transformation are transformation that preserves the size and shape of a figure. Examples of rigid transformation are reflection, translation and rotation.
Dilation preserves the shape but not the size of a figure.
If translation, rotation or reflection is done on triangle ABC, the transformed figure would be congruent to the original triangle. But, if dilation is done, the transformed figure would be similar but NOT congruent to the original triangle.
1. How many goldfish do you have if 30% of the entire population of 20 fish in your tank are goldfish?
Answer:
6 Goldfish
Step-by-step explanation:
Answer:
66.6 becuz you divide it
A skateboard ramp is 15 inches high and rises at an angle of 10 degrees. How long is the base of the ramp?
Answer: 37.3 in will be the longest in the base of the ramp.
Step-by-step explanation:
Answer:
3500
Step-by-step explanation:
37.3 is not the answer
Your stock is worth $50 in 2010. Each year the value increased by 5%. Write a function to
model this situation. Use y to represent the value of the stock and x to represent the number of years since 2010
Answer:
It adds by +5
Step-by-step explanation:
the sum of two numbers is 15 and their difference is 3 find the numbers
Answer:
6+9 is the two numbers
Step-by-step explanation:
Answer:
6 and 9
Step-by-step explanation:
We can write out all possible numbers
1 and 14 (difference is 13, not 3) X
2 and 13 (difference is 11, not 3) X
3 and 12 (difference is 9, not 3) X
4 and 11 (difference is 7, not 3) X
5 and 10 (difference is 5, not 3) X
6 and 9 (difference is 3, checks out!) ✔
7 and 8 (difference is 1, not 3) X
ASAP!: can anyone solve three times the difference of Federico age and 4 increased by 7 is greater than 37 what are possible values of Federico age?
Answer:
Federcio's age possible values are those that are greater than 14 i.e 15, 16, 17 and so on
Step-by-step explanation:
Let Federico's age = x
Three times the difference of Federico’s age, and 4 means:
3(x - 4)
Increased by 7:
3(x - 4) + 7
Is greater than 37:
3(x - 4) + 7 > 37
Solving the inequality:
3x - 12 + 7 > 37
3x - 5 > 37
3x > 37 + 5
3x > 42
x >42/3
x > 14
Federcio's age possible values are those that are greater than 14
Piere is an electrician
He uses this formula to work out the amount ,$c , to charge for a job that takes ×hours
C=20+30×
He starts a job at 9 30 and finishes at 1 pm
Work out his charge for this job
Pls show me formula
Answer:
c=$125
Step-by-step explanation:
9:30--12:30 is three hours, then another half hour till 1pm total hours is 3.5
c = 20+30*3.5
c=20 + 105
c = 125
The charge for Piere's work is $125 by using the formula C = 20+30x.
What is a linear equation?A Linear Equation is an equation of a line. An equation in which the highest power of the variable is always 1. An equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
For the given situation,
Let the amount in dollar,$ be C.
Let the hours be x.
The equation is C = 20+30x.
He starts a job at 9:30 and finishes at 1 pm. So, the time x is 3.5 hours.
⇒ [tex]1pm-9:30 am=3.5 hours[/tex]
Thus charge for the electrician is
⇒ [tex]C=20+30(3.5)[/tex]
⇒ [tex]C=125[/tex]
Hence we can conclude that the charge for Piere's work is $125 by using the formula C = 20+30x.
Learn more about linear equations here
brainly.com/question/12812367
#SPJ2
The farmer owned 100 acres of land. A year later he bought more property and then owned 140 acres. Is this a percent increase or decrease? Find the % change. Round to the nearest whole percent, if necessary.
Answer:
The percentage change (an increase) wa 40%.
Step-by-step explanation:
The beginning number of acres was 100; adding 40 more brought that to 140 acres. This was an increase. Dividing the increase (40) by the starting value (100) yields 0.40. Finally, multiplying this result by 100% yields 40%.
The percentage change (an increase) wa 40%.
Lemon buys a comic book priced at $130.42. The sales tax rate is
4.9%.
What is the tax amount to the nearest cent?
pls answer this lol
Answer:
[tex]\huge\boxed{\$\ 6}[/tex]
Step-by-step explanation:
Price = $130.42
Sales tax = 4.9% of 130.42
Tax as amount:
= 4.9 / 100 * 130.42
= 0.049 * 130.42
= 6.3
≈ $6
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807270 divided by 4
PLEASE HELP ASAP
Answer:
67.5
Step-by-step explanation:
Answer: Divide the 2 numbers
Answer:
the answer is 67.5
Step-by-step explanation:
270/4=67.5
Help. Me.
Will give brainliest.
60 POINTS
Answer:
Step-by-step explanation:
it would be -2 ;)
30 points. Need some help with this
Answer:
I dont see any question
Step-by-step explanation:
Answer:
where is the question????
Point-Slope
Instructions: Write the equation of the line in Point-Slope Form given the information below.
Slope =
Point = (1,4)
Point-Slope Form:
Check
7
Answer:
Look below.
Step-by-step explanation:
Point slope formula: y-y1=m(x-x1)
Point: (1,4)
First you have to plug in our point and the slope (m) if we had one.
1 will be plugged into x1 while 4 will be plugged into y1.
Answer: y-4=m(x-1)
This is as much as we can do with the information provided.
Using the dimensions shown, you could create a rectangular prism. Caculate the surface area for the rectangular prism. A 30m2 b 56m2 c 60m2 d 112m2
Answer:
550ft²
Step-by-step explanation:
Since we are not given the dimension of the rectangular prism. Let us assume;
Length of the rectangular base L = 10ft
Width of the rectangular base W = 15ft
height of the prism H = 5ft
Total surface area of the prism = 2(LW + WH + LH)
Substitute the given values
Total surface area of the prism = 2{10*15 + 15*5 + 10*5}
Total surface area of the prism = 2(150+75+50)
Total surface area of the prism = 2(275)
Total surface area of the prism = 550ft²
The ratio of boys to girls in a local choir is 7:10. If there are 35 boys in the choir, how many girls are there?
Answer:
50 girls
Step-by-step explanation:
Given data
We have the ratio as
7:10
The total part = 7+10= 17
let the number of boys and girls be x
applying the part to all method
7/17= 35/x
cross multiply
7x= 35*17
7x=595
x=595/7
x= 85
Hence the number of girls is
=85-35
=50 girls
what is 2,829 divided by 33
i realy need help with this
Answer:
85.72 is ur answer...
Hope it helps!!!
Which decimal is equivalent to 1/3
Answer:
0.3 with the 3 being repeated
Find the value of x, image attached below
Answer:
x = 10
Step-by-step explanation:
Sum of angles in a triangle is 180° , so
35° + (5x + 7)° + (9x - 2)° = 180°
The value of x can now be found by solving the linear equation.
5x + 9x + 35 + 7 - 2 = 180
14x + 40 = 180
14x = 180 - 40
14x = 140
x = 140/14
x = 10
Question 2 (1 point)
The length of the missing leg =
Round your answer to the nearest tenth.
11
3.9
Answer: I think it 4, but there is no triangle
Step-by-step explanation:
PLS HELP ASAP IN LIKE 1 MINUTE
A shopping bag contains 18 red potatoes and 12 white potatoes. You choose one potato from the bag without looking. Calculate P(~white potato).
Answer:
2/5
Step-by-step explanation:
Red potato: 18
White potato: 12
Combined: 30
Probability of white potato:
12/30
2/5
true or false justify your answer
integers are rational numbers
3 squared can be written as a fraction
whole numbers are irrational
X + 3y =5y
-x + 2y =0
Answer:
If you are asking what the solution to this set of equations is, then they are the same line. They map to the same line.
Step-by-step explanation:
Martha was making apple tarts. She added 1/2 cup of sugar in the beginning. Later, she added another 1/4 cup of sugar. Martha estimated that she added about 1/6 cup of sugar in all. Is Martha's estimate reasonable?
Answer: her answer is NOT reasonable because 1/2 is bigger that 1/6. The real addition to 1/2 and 1/4 is 3/4.
Step-by-step explanation:
1/2 is 2/4 and 1/4 stays the same because it is the common denominator
Add them and you get 3/4
How many solutions does the system of equations 5x−4y=8 and 5x−4y=2 have?
A)no solutions
B)1 solution
C)2 solutions
D)an infinite number of solutions
Answer:
1 solution. y= 5/4x - 1/2
15. B(-2, -9), C(0,-5), D(6,-3), E(4, -7)
Answer:
BC= 2√5
CD= 2√10
DE= 2√5
BE= 2√10
slope of BC = 2
slope of CD = 1/3
slope of DE = 2
slope of BE = 1/3
Step-by-step explanation:
formula for distance = √(x2-x1)²+(y2-y1)²
formula for slope = (y2-y1)/(x2-x1)
