Answers
Answer:
8
Step-by-step explanation:
Your welcome! :)
Good Luck!
Explanation: You set the equations equal to each other, then get the variables onto one side, then solve! I checked with a calculator, so this is correct :)
Related Questions
What are factors of -12 that have a sum of +1?
Answers
A principal of $2700 is invested at 6.25% interest, compounded annually. How much will the investment be worth after 13 years?
Use the calculator provided and round your answer to the nearest dollar.
$
Answers
Answer:
$5938
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Compounded Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]
P is principle amountr is raten is compounded ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables
P = 2700
r = 6.25% = 0.0625
n = 1
t = 13
Step 2: Find Interest
Substitute in variables [Compounded Interest Rate Formula]: [tex]\displaystyle A = 2700(1 + \frac{0.0625}{1})^{1 \cdot 13}[/tex][Exponents] Multiply: [tex]\displaystyle A = 2700(1 + \frac{0.0625}{1})^{13}[/tex](Parenthesis) Divide: [tex]\displaystyle A = 2700(1 + 0.0625)^{13}[/tex](Parenthesis) Add: [tex]\displaystyle A = 2700(1.0625)^{13}[/tex]Evaluate exponents: [tex]\displaystyle A = 2700(2.19926)[/tex]Multiply: [tex]\displaystyle A = 5938[/tex]What is the original price of an item cost if the tax is 9.25% and the discount is 25% and the new price after discount and tax is $62.28?
Answers
Answer: $ 91.50.
Step-by-step explanation:
Let x be the original price.
Since discount is applied before tax.
New price = (Original price - Discount)-Tax rate (Original price - Discount)
, where Discount = Discount rate x Original price.
Substituting values, we get
[tex]62.28=(x-0.25x)-0.0925(x-0.25x)[/tex]
[tex]62.28=(0.75x)-0.0925(0.75x)[/tex]
[tex]62.28=0.75x-0.069375x[/tex]
[tex]62.28=0.680625x[/tex]
[tex]x=\frac{62.28}{0.680625}[/tex]
[tex]x=91.50[/tex]
Hence, the original price was $ 91.50.
Question
In order to save for a new car, Charles adds money each month to a savings account which earns interest that is compounded monthly. Charles has created the expression 400((1+0.0212)12⋅3−10.0212) to calculate how much money he will have in his savings account when he is ready to purchase the car.
What do the values 400, 0.02, 12, and 3 represent in the expression?
Answers
Answer:
Step-by-step explanation:
SAT MATH, PLEASE HELP PLEASE THIS IS MY LAST CHANCE
Answers
Answer:
[tex] \gamma = 125.00 \: degrees \\ a = 2.18 \\ b = 3.59[/tex]
Step-by-step explanation:
[tex] \gamma = 180 - 20 - 35 \\ = 125 \: degrees[/tex]
[tex]using \: sine \: rule \\ \frac{a}{sin20} = \frac{b}{sin35} = \frac{5.122}{sin125} \\ a = 2.1386 \\ b = 3.5865[/tex]
A researcher selects a sample of participants to test for differences in employment rates among part-time and full-time teachers. Because there are many more women in teaching jobs than men, the researcher selected more women than men for her study to ensure that it represented the actual distribution of men and women teachers in the job sector. Which type of quota sampling was used in this example
Answers
Answer: proportionate
Step-by-step explanation:
Proportional quota sampling is when the total number of people that are to be surveyed are decided in advance. This form of sampling is usually used in opinion polls and surveys.
Since due to the fact that there are many more women in teaching jobs than men, the researcher selected more women than men for her study to ensure that it represented the actual distribution of men and women teachers in the job, then this was decided in advance and indicates the proportionate quota sampling.
write short note on the rule on how to bisect a perpendicular angle
Answers
Answer:
Given a line segment AB
open the compass more than half of the distance between A and B, and scribe arcs of the same radius centered at A and B.
Call the two points where these two arcs meet C and D. Draw the line between C and D.
CD is the perpendicular bisector of the line segment AB. Call the point where CD intersects AB E.
Step-by-step explanation:
for more help please follow
Answer:
Follow the steps below to construct a perpendicular bisector of a line segment.
Step 1: Draw a line segment XY of any suitable length.
Step 2: Take a compass, and with X as the center and with more than half of the line segment XY as width, draw arcs above and below the line segment.
Step 3: Repeat the same step with Y as the center.
Step 4: Label the points of intersection as 'P' and 'Q'.
Step 5: Join the points 'P' and 'Q'. The point at which the perpendicular bisector PQ intersects the line segment XY is its midpoint. Label it as 'O'.
Step-by-step explanation:
what is the measure of the supplement of a 65.4 angle
Answers
Answer:
65 degree angle but when straight 180 degree angle
Step-by-step explanation:
sry if wrong :)
Five athletes are in a 100k race. How many different ways can they finish based on their order?
Answers
Answer:
120 different ways
Step-by-step explanation:
The first person can be 5 different ways
Now there are 4 people left
The second person can be 4 different ways
And so on
5*4*3*2*1
120 different ways
A line that includes the points (-9, 6) and (-3, s) has a slope of -1. What is the value of s?
Answers
Answer:
s=0
Step-by-step explanation:
We have two points so we can use the slope formula
m = (y2-y1) / x2-x1)
-1 = (s-6)/(-3 - -9)
-1 = (s-6)/(-3 +9)
-1 = (s-6)/(6)
Multiply each side by 6
6*-1 = s-6
-6 = s-6
Add 6 to each side
-6+6 = s-6+6
s=0
Answer:
[tex] \large\sf \: s = 0[/tex]
Value of s is 0.
Step-by-step explanation:
Here,
A line that includes 2 two points are ( -9 ,6) and (-3, s) and has a slope of - 1.
Using slope formula
m = ( y ² - y ¹ ) / ( x ² - x ¹)
Where,
m , is the slope which is -1( y ² - y ¹ ) = ( s - 6 )( x ² - x ¹) = ( - 3 - ( - 9 ) )substitute the values into the formula
-1 = ( s - 6 ) / ( - 3 - ( - 9 ) )
-1 = ( s - 6 ) / ( - 3 + 9 )
- 1 = ( s - 6 ) / ( 6 )
multiply each side by 2
- 1 × 6 = s - 6 × 6 / 6
- 6 = s - 6
- 6 + 6 = s - 6 + 6 ..( add 6 to each side)
0 = s
A soccer ball is kicked from the ground at an upwards velocity of 90 feet per second. The equation h(t)=-16t^(2)+90t gives the height of the ball after t seconds. How many seconds will it take for the ball to reach its maximum height?
I need help figuring this out to help my grade
Answers
Answer: 2.81 s
Step-by-step explanation:
Given
Ball is kicked upward with velocity [tex]u=90\ ft/s[/tex]
Height of the ball is given by the function [tex]h(t)=-16t^2+90t[/tex]
Derivative of a function gives the maxima or minima at certain point
[tex]\Rightarrow \dfrac{dh}{dt}=-32t+90\\\\\Rightarrow \dfrac{dh}{dt}=0\\\\\Rightarrow -32t+90=0\\\\\Rightarrow t=\dfrac{90}{32}\\\\\Rightarrow t=2.81\ s[/tex]
Thus, it takes ball 2.81 s to reach the top.
What is the measure of x?
Answers
Answer:
x=4
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(x+5) *x = 6^2
x^2 +5x = 36
Subtract 36 from each side
x^2 +5x - 36 = 0
Factor
( x-4) (x+9) = 0
Using the zero product property
x-4 = 0 x+9 =0
x = 4 x=-9
Cannot be negative since that is negative length
x=4
If KJ=4 and KM= 2, find ML
Answers
Answer:
6
Step-by-step explanation:
(whole secant) * (external part) = (tangent)^2
(KL) * (KM) = KJ^2
(KM+ ML) * KM = KJ^2
(2+ ML) * 2 = 4^2
(2+ ML) * 2 =16
Divide each side by 2
(2+ ML) = 8
Subtract 2 from each side
ML = 6
Profit and Loss question class -9
Answers
Answer:
Rs 2.25
Step-by-step explanation:
S.P. = 375 * 3.36 = 1260
C.P. = 1125. for 500 mangoes
So for 1 mango,
C.P. = Rs 2.25
Answer:
₹2.25
Step-by-step explanation:
Selling price of 1 mango = ₹3.36
Mangoes in good state = 500 - 125 = 375
Selling price of 375 mangoes = 3.36 *375 = ₹ 1260
Cost price = [tex]\frac{100}{100+profit}*SP[/tex]
[tex]= \frac{100}{100+12}*1260\\\\=\frac{100}{112}*1260\\\\= 1125[/tex]
Cost price of 500 mangoes = ₹ 1125
CP of 1 mango = 1125/500 = ₹2.25
please help me i have 65 questions i have to do
Answers
La sombra de un árbol cuando los rayos del sol forman con la horizontal un ángulo de 36º, mide 11 metros. ¿Cuál es la altura del árbol?
Answers
Answer:
La altura del árbol es 8 metros.
Step-by-step explanation:
La sombra de un árbol, cuando los rayos del sol forman con la horizontal un ángulo de 36º, mide 11 metros. Esto se puede observar en la imagen adjunta.
La trigonometría estudia la relación entre los lados y ángulos de los triángulos. Las razones trigonométricas de un ángulo α son las razones obtenidas entre los tres lados de un triángulo rectángulo (uno de sus ángulos es recto y mide 90°).
La tangente de un ángulo es la razón entre el cateto opuesto y el cateto contiguo o cateto adyacente. En este caso se debe aplicar dicha relación trigonométrica.
[tex]tan(\alpha )=\frac{cateto opuesto}{cateto adyacente}[/tex]
En este caso, se conoce el ángulo, cuyo valor es 36°, y el cateto adyacente, cuyo valor es 11. Reemplazando:
[tex]tan(36 )=\frac{cateto opuesto}{11}[/tex]
Resolviendo:
cateto adyacente= tan(36)*11
cateto adyacente= 7.99 metros ≅ 8 metros
La altura del árbol es 8 metros.
Is the Function exponential?
Answers
Answer:
y = 4x+ 5 is the equation that describes the data...
that is a linear equation ... the slope is 4 thus "the y value increases 4 for every 1 unit increase in x"
Step-by-step explanation:
10 points, will give brainliest. look ag the picture!!
Answers
Answer:
since angle x and y are the same the answer will be
A: x=y
Jenny walked around the football field which statement explains whether the example describes area or perimeter
Answers
Answer:
perimeter
Step-by-step explanation: If she walks around its perimeter. If she covers every inch of ground covered by the field its area.
Perimeter would be like an outline. And area would be the whole thing shaded.
he local newspaper has letters to the editor from 30 people. If this number represents 2% of all of the newspaper's readers, how many readers does the newspaper have?
Answers
explanation: all readers take up 100%
100/50=2
100% / 50 = 2%
2% x 50 = 100%
30 x 50 = 1500 readers
A hiker is standing 40 feet away from a tree that is 50 feet tall.
What is the angle of elevation from the hikers foot to the top of the tree??
HELP ME PLEASE ITS URGENT
Answers
Answer:
87.9°
Step-by-step explanation:
arctan(50/40)=87.9°
Determine the range for the function y = (x - 3 )^2 + 4.
Answers
Answer:
Solutions are x=2 and x=−2 . At these points the function has vertical asymptotes. To address the range, let's first transform...If 4 US dollars can be exchanged for 1.75 Euros. How many Euros can be obtained for 144 US dollars?
Answers
Answer:
63 euros.
Step-by-step explanation:
4 dollars = 1.75 euros
1 dollar = 1.75 / 4 euros, so
144 dollars = (1.75/4) * 144
= 63 euros.
A rectangular pen for pigs that will enclose a total area of 169 square feet. What is the least amount of fencing that is needed?
Answers
Answer:
The answer is below
Step-by-step explanation:
Let x represent the length of the rectangular pen and y represent the width of the rectangular pen. Since the total area of the pen is 169 ft², hence:
Area = length * width
169 = xy
y = 169/x
Also the perimeter of the rectangular pen is:
Perimeter (P) = 2(length + width)
P = 2(x + y)
P = 2x + 2y
P = 2x + 2(169/x)
P = 2x + 338/x
The least amount of fencing is at dP/dx = 0, hence:
dP/dx = 2 - 338/x² = 0
338/x² = 2
2x² = 338
x² = 169
x = 13 feet
y = 169 / x = 169/13 = 13 feet
The least amount of fencing = P = 2(x + y) = 2(13 + 13) = 52 feet
Today, the population of Canyon Falls is 22{,}50022,50022, comma, 500 and the population of Swift Creek is 15{,}20015,20015, comma, 200. The population of Canyon Falls is decreasing at the rate of 740740740 people each year while the population of Swift Creek is increasing at the rate of 1{,}5001,5001, comma, 500 people each year. Assuming these rates continue into the future, in how many years from today will the population of Swift Creek equal twice the population of Canyon Falls
Answers
Answer:
10 years
Step-by-step explanation:
Given :
Population of Canyon falls = 22500
Rate of decrease = 740 per year
Population after x years :
f(x) = 22500 - 740x ; x = number of years
Population of Swift Creek = 15200
Rate of Increase = 1500 per year
Population after x years :
f(x) = 15200 + 1500x ; x = number of years
Number of years when, population of swift creek will be twice that of Canyon falls
15200 + 1500x = 2(22500 - 740x)
15200 + 1500x = 45000 - 1480x
15200 - 45000 = - 1480x - 1500x
-29800 = - 2980x
x = 29800 / 2980
x = 10
After 10 years
The Titanus beetle can measure 16710 centimeters in length, and the Giant Weta beetle can measure 8510 centimeters in length. How much longer is the Titanus than the Giant Weta?
Answers
Answer:
The answer you're looking for is 8,200cm
Step-by-step explanation:
Find the percent of increase from 380 to 510. Round to the nearest tenth of a percent, if
necessary.
Answers
Answer:
510 divided by 380 is 1.34210526316 so multiple by 10 to get 134.210526316
rounding to the tenth we get 134.2
If my weekly pocket money goes up by 50% each year . How much will I be getting a week after 3 years if I start on £1 a week ?
Answers
Answer: £3.38
Step-by-step explanation:
In the first year, the pocket money goes up by:
= 1 + (1 * 50%)
= £1.50
In the second year:
= 1.50 + (1.50 * 50%)
= £2.25
In the third year:
= 2.25 * ( 2.25 * 50%)
= £3.38
A rectangle has an area of 4x²-8x+3 square units. Which of the following could represent the perimeter of the rectangle in terms of x?
a. 2x-1
b. 2x-3
c. 4x-4
d. 8x-8
e. 10x-8
Answers
Is Your Eyes Good?
Can You Identify The Word
Answers
Answer:
No way its too blur XD
Step-by-step explanation:
sports
watching tv
reading books
surfing
and sleeping maybe
Answer:
Sports - 25%
Surfing - 25%
Reading Books - 20%
Watching TV - 25%
Malling - 5%
Step-by-step explanation:
