Answer:
4 weeks
Step-by-step explanation:
Given information:
Starting account balance = $85Weekly deposit = $8 + $10 = $18Given equation:
[tex]\sf b = 85 + w(10 + 8)[/tex]
(where b is the balance and w is the number of weeks)
To find the number of it will take to have a balance of $150, substitute b = $150 into the given equation and solve for w:
[tex]\implies \sf 85+w(10+8)=150[/tex]
[tex]\implies \sf 85+18w=150[/tex]
[tex]\implies \sf 85+18w-85=150-85[/tex]
[tex]\implies \sf 18w=65[/tex]
[tex]\implies \sf \dfrac{18w}{18}=\dfrac{65}{8}[/tex]
[tex]\implies \sf w=3.6111...[/tex]
[tex]\implies \sf w=4\:weeks[/tex]
Therefore, there will be $150 in the bank account 4 weeks from now.
.A bicycle normally sells for $475. The bicycle was discounted 30% for a
sale. After the sale was over, the new price of the bicycle was 25%
higher than the sale price. What was the new price of the bicycle?
Answer:
415.63
Step-by-step explanation:
Multiply the price by the sales tax to find out how much money the sales tax will add.
Answer:
$415.63
Step-by-step explanation:
475
after 30%
475 times .30 = 142 5
475 - 142.5 = 332.5 <- sale price
332.5 times .25 = 83.125
332.5 + 83.125 = 415.625 <- new price
PLEASE HELP QUICK
………
Answer:
you need to width x height x length b
Step-by-step explanation:
Length, width, and height are measurements that allow us to indicate the volume of geometric bodies. The length (6 cm) and the width (10 cm) correspond to the horizontal dimension. On the other hand, the height (5 cm)refers to the vertical dimension.
Find the HEIGHT of a cylinder if the volume is 160 and the radius is 4
Step-by-step explanation:
this is the answer
hope it help
“Explain why you can have different values when evaluating an algebraic expression”
Porque Las expresiones algebraicas son combinaciones de variables , números, y por lo menos una operación aritmética.Para evaluar una expresión algebraica, reemplace la variable o variables con valores conocidos y luego utilice el orden de las operaciones .Para su conveniencia, puede usar paréntesis cuando introduzca valores negativos en las variables.
ENGLISH:
Algebraic expressions are combinations of variables, numbers, and at least one arithmetic operation.
To evaluate an algebraic expression, replace the variable(s) with known values and then use the order of operations.
For your convenience, you can use parentheses when entering negative values in variables.
In triangle ABC, mZA = 47° and mZB= 70°
B
70
47
A
С
What is the measure of angle C?
Enter your answer as the correct value. like this: 42
i need help with this question please
Answer:
C. $16.95
Step-by-step explanation:
Median is putting the numbers in numerical order and finding the middle by listing a number on each side off.
As there would need to be bigger numbers in order for the $17.99 to be in the middle, the smallest number would mess the order up.
Next → Post Test: The Pythagorean Theorem and Volume
1
Select the correct answer from each drop-down menu.
50⁰
Z
45⁰
529
The vertical number line in a Cartesian coordinate system is called a what?
Answer:
the X axis line which bisects the y axis with an angle of 90 degrees
Find the solution for x2+4x-9=c+1
Answer: c= [tex]x^{2}[/tex] +4x-10
Step-by-step explanation:
Step 1: Flip the equation.
C+1= [tex]x^{2}[/tex]+4x-9
Step 2: Add -1 to both sides.
c+1+-1=[tex]x^{2}[/tex]+4x-9+-1
c=[tex]x^{2}[/tex]+4x-10
If A'B' is 8 find the length of AB.
If angle B is 40 degrees what is the measurement of B'?
If angle A is 80 degrees what is the measurement of A'?
Using AA what is the measurement of angle C?
The length of AB when A'B' is 8 is 12
The measurement of B' when angle B is 40° is also 40°
The measurement of A' when A is 80° is also 80°
The measurement of C using AB is 60°
What are similar triangles?Similar triangles are triangles that have the same angles and the ratio of their corresponding sides are equal.
Analysis:
ΔCA'B' is similar to ΔCAB.
Which means [tex]\frac{A'B'}{AB}[/tex] = [tex]\frac{CB'}{CB}[/tex] = [tex]\frac{CA'}{CA}[/tex]
A'B' = 8, CA' = 4, CA = 6
[tex]\frac{8}{AB}[/tex] = [tex]\frac{4}{6}[/tex]
4AB = 8 X 6
AB = 48/4 = 12
Line BA nd B'A' are parallel lines joined by two transversals BC and CA.
So, ∠B = ∠B' = 40°( corresponding angles are equal)
Also, ∠A = ∠A' = 80° ( corresponding angles are equal)
∠A + ∠B +∠C = 180( sum of angles in a triangle)
80 + 40 + ∠C = 180
120 + ∠C = 180
∠C = 180 - 120 = 60°
In conclusion,
The length of AB when A'B' is 8 is 12
The measurement of B' when angle B is 40° is also 40°
The measurement of A' when A is 80° is also 80°
The measurement of C using AB is 60°.
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how to calculate annuity
Answer:
The formula for determining the present value of an annuity is PV = dollar amount of an individual annuity payment multiplied by P = PMT * [1 – [ (1 / 1+r)^n] / r] where: P = Present value of your annuity stream. PMT = Dollar amount of each payment. r = Discount or interest rate.
Step-by-step explanation:
Hope this helps :) :)
If the figures shown are congruent, what is the value of x? (Hint: The sum of the three angles of any triangle is 180°.)
negative using self reported delinquency
Answer:
Your question does not make sence
HURRY PLS
Explain how an enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.
The enlargement or a reduction in the dimensions of a building would cause a change in the scale factor is defined below:
What is Scale Factor?A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.
A dilation is a transformation that enlarges or reduces a figure in size. This means that the pre image and image are similar and are either reduced or enlarged using a scale factor.
As seen in the graphics below. A reduction (think shrinking) is a dilation that creates a smaller image, and an enlargement (think stretch) is a dilation that creates a larger image.
If the scale factor is between 0 and 1 the image is a reduction.
Using dilation scale factors, we can shrink or expand a figure to the size we desire, knowing that each angle is congruent, each segment is proportional, the slope of each segment is maintained, and the perimeter of the pre image and image have the same scale factor.
Hence, this is how an enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.
Learn more about scale factor here:
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A group of pupils take a test. The group consists of 28 boys and 24 girls.
The mean mark for the boys is 28. The mean mark for the girls is 14.
Calculate the mean mark for the whole group.
Give your answer correct to 1 decimal place.
Answer:
21.5 to 1 decimal place.
Step-by-step explanation:
The total number of marks for all the boys = 28*28 = 784 marks.
The total number of marks for all the girls = 24*14 = 336 marks.
So the mean mark for the whole group
= (784+336) / (28+24)
= 1120 / 52
= 21.538
Points A, B, and Care located on a circle, and chords exist between all three points. If the measure of ZBAC is 88°, what is the measure of BC?
OA. 88°
OB. 92°
O C. 176°
OD. 184°
Answer:
92
Step-by-step explanation:its right
PLEASE HELP!! 35 POINTS!!!
ignore my writing if it’s wrong
Answer: sin(x)=5/11
Step-by-step explanation:
For #7, the hypotenuse is always the longest side of a triangle and in right triangles it's always the side that's opposite the right angle. MO, the side thats 11, is the hypotenuse in this triangle and not the adjacent side which would be NM. Therefore, you need to use sin=opp/hyp and get sin(x)=5/11
NEED HELP ASAP 45 POINTS
What sequence of transformations when applied to triangle HIG, shows that triangle HIG is similar to triangle H’I’G
Answer:
dilation with respect to the origin by a scale factor of 1/3 followed by a translation of 2 units down
Step-by-step explanation:
The sides of the △ HIJ are:
IH = 6
IJ = 3
Applying the scale factor we obtain the sides of △ H'I'J '.
The scale factor is k = 1/3.
Therefore, we have:
I'H '= 2
I'J '= 1
Then, we move the △ H'I'J 2 units down.
PLS HALP!!
Dried rose petals can be used to make rose water. Fatima buys 0.454 kilogram
of rose petals.
• She uses 0.02 kilogram of the rose petals to make rose water.
• Then, she buys an additional 0.056 kilogram of rose petals.
• Finally, she uses 0.095 kilogram of the rose petals to make more rose water.
Fatima completes the steps below and says she has 0.413 kilogram of rose
petals left. What mistake did Fatima make?
Use the drop-down menus to explain her mistake and to find the number of
kilograms of rose petals left.
First Step
Second Step
Third Step
0.454
0.452
0.508
0.02
+0.056
- 0.095
0.452
0.508
0.413
Click the arrows to choose an answer from each menu.
Fatima made her first mistake at the Choose...
step.
She incorrectly Choose...
Fatima has Choose...
Y
kilogram of rose petals left.
In the end, Fatima only has 0.395 kg of roses, because she used up a total of 0.115 kg of rose petals.
How to know how many rose petals Fatima has at the end?To calculate the amount of rose petals that Fatima has at the end, we must perform the following mathematical operations:
Subtract 0.02kg to 0.454kg
0.454kg - 0.02kg = 0.434kgAdd 0.056 kg to 0.434 kg
0.056kg + 0.434kg = 0.49kgSubtract 0.095kg from 0.49kg
0.49kg - 0.095kg = 0.395kgBased on the above, Fatima is wrong because she thinks she should have 0.413 kg of rose petals, but she has 0.395 kg.
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what was the price per ounce of a 24-ounce bag of chocolate chips that cost $5.40?
Answer:
22.5¢ per oz
Step-by-step explanation:
24 oz cost = $5.30
1 oz cost = $5.40/24 = 22.5¢ per oz
Answer:
0.22.5
Step-by-step explanation:
10810 5 - 2 + log10 (2x + 10) = log10 (x-4)
Answer:
x=-108117
Step-by-step explanation:
108105-2+1(2x+10)=1(x-4)
108113+2x=x-4
2x-x=-4-108113
x=-108117
What is the value of the expression
1/2 divided by 6
Answer:
here is 1/2 divided displayed mathematically
1/2 ÷ 6
1= numerator
2= denominator
3= whole number
to make it fraction from the answer you keep the
numerator by the whole number to make a new
denominator
___1___ = _1_
2×6 12
thus the answer to 1/2 divided by 6 on fraction form is
1/12 is the answer
What is the definition of a chronological structure?
A. Describes events in order they occurred or gives ordered instructions
B. Shows relationship between events, explains how one thing happens as a result of another
C. Describes a topic, idea, person, place or thing
D. Describes a problem as well as its causes and suggests solutions
Answer:
The arrangements of things following one after another in time
Anyone? please help asap i really want to finish this
Note: please add the answer next to the number its from so I can know which question was answered
Answer:
Question 3: [tex]b \geq 2[/tex]
Question 4: [tex]r < -5[/tex]
Question 5: [tex]y \leq -6[/tex]
Step-by-step explanation:
Question 3:
[tex]b + 2 \geq 4\\b + 2 -2 \geq 4 - 2\\b \geq 2\\[/tex]
Question 4:
[tex]13 > 18 + r\\13 - 18 > 18 -18 + r\\\\-5 > r\\ r < -5[/tex]sign flips when r switches sides
Question 5:
[tex]3y \leq 2y - 6\\3y - 2y \leq 2y - 2y - 6\\\\y \leq - 6\\[/tex]
the tax rate is 6.8%
what is the tax on $9.95
round to the nearest hundredth (explain your answer)
PLEASE HELP FAST WILL GIVE BRAINLY
write an equation in point-slope form for the given point and slope:
point: (-7,5)
slope :3
Answer:
I believe it is y-5=3(x+7)
Step-by-step explanation:
Point Slope form = y-y1=m(x-x1)
The reason that in the problem above it's x+7 is because 7 is a negative number, so we would do the opposite of subtraction, which is addition.
A line intersects the points (3,11) and (-9, -13). What is the slope of the line In simplest form?
Answer:
m = 2
Step-by-step explanation:
Write the slope formula
Substitute: m = - 13 - 11/ - 9 - 3
Calculate the sum or difference: m = -24 / - 9 - 3
Calculate the sum or difference: m = -24 /-12
Reduce the fraction: m = 2
Answer: m = 2
Answer: m = 2
Step-by-step explanation:
Slope formula = [tex]\frac{y2-y1}{x2-x1}[/tex]
plug in values
[tex]\frac{-13-11}{-9-3}[/tex]
simplify
[tex]\frac{-24}{-12}[/tex]=2
⇒M = 2
PLEASE HELP IM SO STUCK ON THIS!!!!!
Based on the number of ways to answer the multiple choice questions and the number of ways to answer true or false, the number of ways to answer the test is 8,192 ways.
How many ways can the test be answered?This can be found as:
= Total number of ways to answer multiple choice questions + Total ways to answer true or false questions
Solving gives:
= (4 x 4 x 4) x (2 x2 x2 x 2 x 2 x 2 x 2)
= 64 x 128
= 8,192 ways
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Simplify: x+2/x+3 - x/x-1
Answer:
[tex] \frac{ - 2x - 2}{ {x}^{2} + 2x - 3 } [/tex]
is the answer
Tony orders 3 copies of a book online. He pays $2 for
shipping.
Which expression represents his total cost?
Answer:
A. 3b + 2
Step-by-step explanation:
We know that Tony ordered 3 copies and the shipping costs $2, what we don't know is b.
What don't we know? The cost of the 3 copies.
So 3b (3 multiplied by the cost(?)) + (because shipping is more money so we use addition.) and we know that the shipping is $2. Therefore our expression is
3b + 2