The total amount received at the end of 1 year will be 242000
The amount available in Austin's saving account: $100,000
Rate of interest = 142% per year
Simple interest: Simple interest is a quick and simple formula for figuring out how much interest will be charged on loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.
The formula for simple interest is given:
Simple Interest = P*R*T/100
where P = principal amount invested
R = rate of interest per year
T = time in years for which the amount is invested
Substituting the values in the formula we get:
Simple interest = 100000*142*1/100
= 142000
Total amount after 1 year = Principal invested + Simple interest earned
= 100000 + 142000
= 242000
Learn more about simple interest:
https://brainly.com/question/25845758
#SPJ1
simplify 3x + 5y - x +2y
Answer:
2x + 7y
Step-by-step explanation:
first we need to align the sample sympols
like this
3x -x + 5y + 2y
then you can easily calculate
Answer:
2x+7y
Step-by-step explanation:
3x-×=2x, 5y+2y=7y
2x+7y
which lines are parallel if angle 4 = angle 5? justify your answer
r and s are the parallel lines, if ∠4 equals ∠5.
Given,
The figure with,
Four lines: Line r, Line s, Line l and Line m.
Angles: ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7 and ∠8
Here, we have to find the parallel lines when ∠4 = ∠5
Lets see:
Angle 1 and angle 4 are the same because the opposite angles created by two crossing lines are identical. As a result, angle 1 also equals angle 5.
The corresponding angles are identical when two parallel lines cross across a line. To put it another way, if r and s are parallel, the angles created when l intersects r and s are same. Angle 1 equals Angle 5, Angle 2 equals Angle 6, etc. We can infer that r and s are parallel since we know that angle 1 Equals angle 5.
So, we can conclude that if ∠4 equals ∠5, then r and s are the parallel lines.
Learn more about parallel lines here:
https://brainly.com/question/27460480
#SPJ1
A transversal interersects two parallel lines. The measures of a pair of alternate interior angles are 5v and 2w. The measures of a pair of same-side exterior angles (consecutive exterior) are 10w and 5v. What are the values of w and v?
Answer: [tex]v=6, w=15[/tex]
Step-by-step explanation:
The pair of alternate interior angles are congruent, so [tex]5v=2w \implies 10w=25v[/tex].
The consecutive exterior angles are supplementary, so
[tex]10w+5v=180\\\\25v+5v=180\\\\\\30v=180\\\\v=6\\\\\implies w=2.5(6)=15[/tex]
2/3c - 2 = 2 + c
Solve for C.
Answer:
c=-12
Step-by-step explanation:
Let's solve your equation step-by-step.
2/3c−2=2+c
Step 1: Simplify both sides of the equation.
2/3c−2=2+c
2/3c+−2=2+c
2/3c−2=c+2
Step 2: Subtract c from both sides.
2/3c−2−c=c+2−c
−1/3c−2=2
Step 3: Add 2 to both sides.
−1/3c−2+2=2+2
−1/3c=4
Step 4: Multiply both sides by 3/(-1).
(3/−1)*(−1/3c)=(3/−1)*(4)
c=−12
Answer:
c=−12
On a certain hot summer's day, 273 people used the public swimming pool. The daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $528.75. How many children and how many adults swam at the public pool that day?
The number of children is 123 and the number of adults is 150 for that day.
According to the question,
We have the following information:
273 people used the public swimming pool.
Price for children = $1.25
Price for adults = $2.50
The total amount received = $528.75
Now, let's take the number of children to be x and the number of adults to be y on that day.
So, we have the following expression:
x + y = 273
x = (273-y) .... (1)
1.25x + 2.50y = 528.75
Now, putting the value of x from equation 1:
1.25(273-y) + 2.50y = 528.75
341.25 - 1.25y + 2.50y = 528.75
341.25 + 1.25y = 528.75
1.25y = 528.75-341.25
1.25y = 187.5
y = 187.5/1.25
y = 150
Now, putting this value of y in equation 1, we will find the value of x:
x = 273-y
x = 273-150
x = 123
Hence, the number of children is 123 and the number of adults is 150 on that particular day.
To know more about number of children here
https://brainly.com/question/28907711
#SPJ1
Please help me I will give you extra points and the crown
Using the figure below, Maggie used the definition of vertical angles to help her solve for x. Since vertical angles are congruent, she set the two given expressions equal to each other. After solving for x, her teacher said she got the wrong value for x. Explain where Maggie made her mistake when solving for x.
Answer:
Maggie did not combine like terms correctly when she subtracted 7x from both sides of the equation. Here is a correct solution:
4x + 2 = 7x - 25
-3x + 2 = -25
-3x = -27, so x = 9, not -9
Find a formula for the exponential function passing through the points (-2, 4/9) and (3,108)
Answer:
[tex]f(x)=4(3)^x[/tex]
Step-by-step explanation:
Let [tex]f(x)=ab^x[/tex].
Then,
[tex]ab^{-2}=\frac{4}{9} \\ \\ ab^3=108 \\ \\ \frac{ab^3}{ab^{-2}}=\frac{108}{4/9} \implies b^5=243 \implies b=3 \\ \\ \therefore a(3)^3=108 \\ \\ a=4 \\ \\ \therefore f(x)=4(3)^x[/tex]
Which of the following is the definition for permutation?
A. Selections of objects in which the order of the objects doesn't
matter.
B. The probability of an event where order doesn't matter when
selecting the objects.
C. Selections of objects in which the order of the objects matters.
D. The probability of an event where order matters when selecting
the objects.
SUBMIT
ndiba wants to buy a wagon that costs $217. how much change does he receive if he gives the cashier $250?
Answer:
change = $33
Step-by-step explanation:
ndiba wants to buy a wagon that costs $217. how much change does he receive if he gives the cashier $250?
250 - 217 = change
change = $33
{assuming no sales tax]
Chloe had 3/4 of a pizza left. Addie ate 1/6 of Chloe's pizza. How much pizza did Addie eat?
Answer: 3/24 or 1/8 of the pizza
Step-by-step explanation:..
Jerald is having drain issues at his home and decides to call a plumber. The plumber charges $35 to come to his house and $50 for every hour they work. If the plumber charges Jerald a total of $190, how many hours did the plumber work?
Write and solve an equation to determine the number of hours worked by the plumber.
50x + 35 = 190; x = 3.1 hours
50x − 35 = 190; x = 4.5 hours
35x + 50 = 190; x = 4 hours
35x − 50 = 190; x = 6.9 hours
The equation to determine the number of hours worked by the plumber is 190 = 35 + 50x and the number of hours is 3.1 hours option (A) is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Jerald is having drain issues at his home and decides to call a plumber.
The plumber charges $35 to come to his house and $50 for every hour they work.
Let x be the number of hours:
190 = 35 + 50x
50x = 155
x = 3.1 hours
Thus, the equation to determine the number of hours worked by the plumber is 190 = 35 + 50x and the number of hours is 3.1 hours option (A) is correct.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ5
Simplify 2/5(14–27)+2^5÷16.
We can simplify the numerical expression to get:
(2/5)*(14 - 27) + (2⁵/16) = -16/5
How to simplify the numerical expression?Here we have the expression:
(2/5)*(14 - 27) + (2⁵/16)
Let's simplify the term in the right first, we know that:
2⁵ = 2*2*2*2*2 = 4*4*2 = 16*2 = 32
Replacing that we get:
(2⁵/16) = 32/16 = 2
Then we get:
(2/5)*(14 - 27) + (2⁵/16) = (2/5)*(14 - 27) + 2
Now we can simplify the term in the left:
(2/5)*(14 - 27) = (2/5)*(-13) = -26/5
Replacing that we get:
(2/5)*(14 - 27) + 2 = -26/5 + 2 = -26/5 + 10/5 = -16/5
Learn more about numerical expressions:
https://brainly.com/question/4344214
#SPJ1
1. How would you subtract a negative fraction from a positive
decimal?
Answer:
you could either make the fraction a decimal or my personal like is to make the decimal a fraction
Step-by-step explanation:
convert the fraction to a decimal or decimal to fraction
surface area of a cuboid with dimensions of 9cm 5cm and 7cm
A local pizza shop has a membership program for frequent buyers. the membership costs $20 per month and members get a discounted price of $1.75 per slice of pizza. robert purchased a membership to this pizza shop. how much would robert have to pay the pizza shop if he bought 6 slices of pizza this month? what would be the monthly cost for xx slices of pizza?
Answer: $10.50
Step-by-step explanation:
Cot of 1 slice a pizza = $1.75
Cost of 6 slices of pizza = 6 × $1.75
=$10.50
Hence, Robert will pay $10.50 for the 6 slices of pizza and $20 for the membership.
Someone please help me with this!!! (Will mark Brainliest)
Answer: 5/3
Step-by-step explanation:
The scale factor is the same as the ratio of the length of a side of the image to the length of the corresponding side in the preimage.
We know that N'Q'=10 and NQ=6, so the scale factor is 10/6 = 5/3.
Explain why the statement line LR ≅ line RL and ∠CBA ≅ ∠ABC are both true by the Reflexive Property of Congruence.
The reflective Property of Congruence states that any figure is congruent with itself, therefore line LR ≅ line RL and ∠CBA ≅ ∠ABC.
What is congruence?If it is possible to superimpose one geometric figure on the other so that their entire surface coincides, that geometric figure is said to be congruent or to be in the relation of congruence.
Reflexive Property of Congruence said that an angle line segment or any shape is congruent with itself.
For example, a line segment with a length of 5 meters will be the same as another line with 5 meters or a copy of that line so both will be congruent.
Line LR and RL are the same in length thus line LR ≅ line RL.
Angle CBA and angle ABC are the same thus ∠CBA ≅ ∠ABC.
Hence "The reflective Property of Congruence states that any figure is congruent with itself, therefore line LR ≅ line RL and ∠CBA ≅ ∠ABC".
To learn more about congruence,
https://brainly.com/question/12413243
#SPJ1
Frank is riding his bicycle for 6 hours at a speed of 9.6 kilometers per hour. For how many kilometers does he ride?
Rose's stamp collection is 7 less than half of Van's stamp collection, x.
Which expression represents the total number of stamps that Rose has?
Responses
7−1/2x
7 minus fraction 1 half end fraction x
7x−1/2
7 x minus fraction 1 half end fraction
1/2−7x
fraction 1 half end fraction minus 7 x
1/2x−7
Answer: 1/2x - 7
Step-by-step explanation:
1/2x represents half of Van's stamp collection and Rose has 7 less than that.
'less than' is telling you to subtract, so the answer is 1/2x - 7
Answer: 1/2x - 7
Step-by-step explanation:
1/2x represents half of Van's stamp collection and Rose has 7 less than that.
'less than' is telling you to subtract, so the answer is 1/2x - 7
yuckyew DID THIS! NOT ME!
Zak has 11 shirts and 8 ties in his wardrobe. a) On Thursday morning, he picks a shirt and a tie at random from the wardrobe. How many possible combinations are there? b) On Thursday evening, he puts the tie back in the wardrobe but not the shirt. On Friday morning, he picks a shirt and a tie at random from the wardrobe again. How many possible combinations are there now?
Answer:
c
Step-by-step explanation:
because you do 12 times 9 minus 100 wich is 125 so yeah
Someone help with geometry please the answer I put isn’t correct
The △ABC is congruent to △DCB (△ABC ≅ △DCB) under the SAS condition.
What is the congruency of triangles?Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, rotate, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.So, △ABC ≅ △DCB:
CB = CB (Common line - Given)AC = DB (Similar lines - Given)∠ABC = ∠DCB = (Right angle - Given)So, △ABC ≅ △DCB is under SAS condition.
Therefore, the △ABC is congruent to △DCB (△ABC ≅ △DCB) under the SAS condition.
Know more about the congruency of triangles here:
https://brainly.com/question/2938476
#SPJ13
-w/5 + nine = thirteen
Answer:
w=-20
Step-by-step explanation:
-w/5+9=13
-w/5=-1/5w
-1/5w+9=13
Subtract 9 on both side
Multiply both sides by -5/1
w=-20
What is the value of x, when -9 (-5) = 1 + 22-¹/?
O A x=1³
I= 1²/
O B. X= 2/1/
OC x=2²/
OD x=2³/1
I can help you with this equation, if you type it out correctly :). The input you made doesn´t make sense.
could someone lend a hand... please?
The diagram prove that m ║n by the consecutive interior angles converse.
How to find angles?The diagram is to prove line m is parallel to line n.
Therefore,
m ║ n
Hence,
m∠1 = 115°, m∠2 = 65° is given.
m∠1 + m∠2 = m∠1 + m∠2 follows the reflexive property of equality.
The reflexive property of equality means that anything is equal to itself
m∠1 + m∠2 = 115° + 65° is the substitution property of equality
Supplementary angles add up to 180 degrees.
m∠1 + m∠2 = 180 is the definition of supplementary angles
∠1 and ∠2 are supplementary when simplify
m ║ n by consecutive interior angles converse.
learn more on angles here: https://brainly.com/question/9299801
#SPJ1
GUYS PLSSS HELPPPPPP
A dealer purchased an old car for 70,000. He spent 17,500 on its repair and painting. Due to lack of demand he had to dispose it at a loss of 12%. What was the selling price of the car?
The selling price of the car is 77,000.
First, let's define what a selling price is.
The selling price is the price the customer pays to purchase the good.
Selling price = Cost price – (100% Loss)/100
We are told that the car cost 70,000 and that 17,500 was lost (12%) in repairs and painting.
The car's total cost is equal to 70,000 + 17,500 = 87,500.
So, the car's cost price is 87,500.
Selling price = 100/12/100 x cost price
= 100/12/100 x 87,500
= 0.88 x 87,500
= 77,000
Consequently, the car is being sold for $77,000.
To know more about selling price click at
https://brainly.com/question/27760921
Simplify (-4b)(-19b).
76b
-76b
766²
-76b²
Given the figure, find the total area of the shaded region.
-4
A
D
8.
6-
4-
2-
O
-2-
-4
2
G
S
B
The area of the shaded region is
R
6 8
-U
X
square units.
Answer:
what was one survival event you experienced
3x^2 + 36x + 11 = 0
Hello, could you please help me factorise this / complete the square?
Answer:
x = +/-[tex]\frac{\sqrt{291} }{3} -6[/tex]
Step-by-step explanation:
9(x+y)=3ay solve for y
When we solve the linear equation for y, we will get:
8*x/(3*a - 9) = y
That is the solution for the variable y.
How to solve the linear equation for y?
Here we have the linear equation:
9*(x + y) = 3*a*y
Where x, y, and a are variables.
We want to solve this linear equation for y, this means that we need to isolate y in one side of the equation, to do so, let's start by expanding the left side:
9*(x + y) = 3*a*y
9*x + 9*y = 3*a*y
Now we move all the terms with y to the right side.
8x = 3*a*y - 9*y = (3*a - 9)*y
Now we divide both sides by 3*a - 9 to get:
8*x/(3*a - 9) = y
That is the equation solved for y.
Learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1