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PLS MATH QUIZZ
Jeremiah invested $70,000 in an account paying an interest rate of 6.8% compounded daily.Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $99,000?
Answers
Answer:
t≈
5.1
Step-by-step explanation:
A=99000 P=70000 r=0.068 n=365
Given values
99000
70000
(
1
+
0.068
365
)
365
t
70000(1+
365
0.068
)
365t
Plug in values
99000
=
99000=
70000
(
1.0001863
)
365
t
70000(1.0001863)
365t
Simplify
99000
70000
=
70000
99000
=
70000
(
1.0001863
)
365
t
70000
70000
70000(1.0001863)
365t
Divide by 70000
1.4142857
=
1.4142857=
1.000186
3
365
t
1.0001863
365t
log
(
1.4142857
)
=
log(1.4142857)=
log
(
1.000186
3
365
t
)
log(1.0001863
365t
)
Take the log of both sides
log
(
1.4142857
)
=
log(1.4142857)=
365
t
log
(
1.0001863
)
365tlog(1.0001863)
Bring exponent to the front
log
(
1.4142857
)
log
(
1.0001863
)
=
log(1.0001863)
log(1.4142857)
=
365
t
log
(
1.0001863
)
log
(
1.0001863
)
log(1.0001863)
365tlog(1.0001863)
Divide both sides by log(1.0001863)
1860.731865
=
1860.731865=
365
t
365t
Use calculator
1860.731865
365
=
365
1860.731865
=
365
t
365
365
365t
Divide by 365
5.0978955
=
5.0978955
It would take 5 year for the value of the account to reach $99,000.
What is Future Value?The worth of a current asset at some point in the future based on an estimated rate of growth is known as future value (FV). For investors and financial planners, the future value is crucial because they use it to predict how much an investment made now will be worth in the future.
Given:
P = $70000
R= 6.8%
SV = $99000
For Compounded Daily
A = P [tex](1+ (R/100)/ 365) ^{365n[/tex]
99000 = 70000 [tex](1+ (0.068/100)/ 365) ^{365n[/tex]
[tex](1+ (0.068/100)/ 365) ^{365n[/tex] = 1.414
[tex](1. 00019)^{365n[/tex] = 1.414
[tex]1.072^n[/tex] = 1.414
and, n=5 years
Hence, it would take 5 year for the value of the account to reach $99,000.
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Jonathan is building an outdoor staircase for his deck. He uses 8 screws for every 2 steps. If there are 14 steps, how many screws does Jonathan need?
Answers
Answer:
56 screws
Step-by-step explanation:
So, first we can find how many screws he needs.
So, if he uses 2 steps for 8 screws, and has 14 steps, that means he puts screws in 7 steps ( 14÷2)
then, if he uses 8 screws, each with 8 steps, we can do 8 times 7, which is 56 screws
The screws does Jonathan need is 56 screws.
It is required to find how many screws does Jonathan need.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
Jonathan uses 8 screws for every 2 steps. If there are 14 steps.
So, first we can find how many screws he needs.
According to given question we have
So, if he uses 2 steps for 8 screws, and has 14 steps, that means he puts screws in 7 steps ( 14÷2)
then, if he uses 8 screws, each with 8 steps, we can do 8 times 7, which is 56 screws.
Therefore, the screws does Jonathan need is 56 screws.
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Write the equation of a line through (-1,-5) parallel to 3x-y=5, and in slope intercept form
Answers
Answer:
y = 3x -2
Step-by-step explanation:
The general equation form is;
y = mx + b
where m is the slope and b is the y-intercept
For the equation given;
y = 3x -5
the slope from here is 3
If two lines are parallel, they have equal slopes
This mean that the slope of the line we want to calculate too is 3
Now we can use the point slope format to get the correct equation
y-y1 = m(x-x1)
y+ 5. = 3(x+ 1)
y = 3x + 3 -5
y = 3x -2
A pair of shoes usually sells for $60. If the shoes are 20% off, and sales tax is 7%, what is the total price of the shoes, including tax?
Answers
Answer:
$50.88
Step-by-step explanation:
Adjusted Price without tax = 0.8 * 60,
0.8 * 60 = 48,
With Tax = 1.06 * 48,
1.06 * 48 = 50.88
∴ New Price = 50.88
Answer:
Its $12.84
Step-by-step explanation:
20 percent of $60 is 12, and the sales tax is $.84, so you add those two together and you get $12.84! Hopes this helps and good luck!
The diagram shows a square with a perimeter of 20 cm.
Not drawn
accurately
Eight of these squares fit together to make a rectangle.
Not drawnaccurately
What is the perimeter of the rectangle?
Answers
The perimeter of the rectangle is 70cm.
What is perimeter?Perimeter is the total length of the sides of a two-dimensional shape.
What is the formula for the perimeter of square?Perimeter of the square is given by
P = 4a
where,
a is the side length of the square.
P is the perimeter of the square.
What is the formula for the perimeter for the rectangle?Perimeter of the rectangle is given by
P = 2( l + b)
Where,
l is the of the rectangle
b is the breadth of the the rectangle
According to the given question.
We have the perimeter of the square is 20cm.
⇒ 4a = 20
⇒ a = 5cm
⇒ Each side length of the square is 5cm
And a rectangle made of 10 squares.
⇒ length of the rectangle = 5×5 = 25cm
and the breadth of the rectangle = 2 × 5 = 10cm
Therefore, the perimeter of the rectangle = 2(25 + 10) = 2 × 35 = 70cm
Hence, the perimeter of the rectangle is 70cm.
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Write System of Equations from Context
Mason owns a trucking company. For every truck that goes out, Mason must pay the driver $13 per hour of driving and also has an expense of $1 per mile driven for gas and maintenance. On one particular day, the driver drove an average of 30 miles per hour and Mason's total expenses for the driver, gas and truck maintenance were $258. Write a system of equations that could be used to determine the number of hours the driver worked and the number of miles the truck drove. Define the variables that you use to write the system.
Answers
Answer:
x and y
Step-by-step explanation:
find the common difference of the arithmetic sequence -2,-4,-6
Answers
Answer:
-2
Step-by-step explanation:
-4-(-2) = -2
-6-(-4) = -2
Two trains, Train A and Train B, weigh a total of 381 tons. Train A is heavier than Train B.
The difference of their weights is 193 tons. What is the weight of each train?
I need this answer quick!
Answers
Answer:
Train A is 287 tons
Train B is 94 tons
Step-by-step explanation:
My method of solving it may have been a bit different from how you were taught. I divided 381 by 2 to give both trains an equal weight of 190.5 tons. I then divided the difference, 193, by 2 to get 96.5 tons. I subtracted the new difference from the weight of Train B and added it to train A. To double check, you can grab a calculator and see that their weights are equal to 381.
select all relations that are functions from the choices below.
Answers
Help pls this is timed!!!!!!! Pls and thank you ;P
Who supported the formation of Washington Territory out of a belief that it was America’s destiny to settle the Pacific Northwest?
A.)President Millard Fillmore
B.)Governor Isaac Stevens
C.)Oregon Territory’s northern settlers
D.)Oregon Territory’s southern settlers
Answers
Answer:
A. President Millard Fillmore
ratio of width to length is 2:3 if the length 18 meters what is the width
Answers
Answer:
12
Step-by-step explanation: 18/3=6 6(2)= 12
Which postulate proves that the triangles below are similar?
SSS
AA
SAS
These triangles are not similar
Answers
Answer:
AA~
Step-by-step explanation:
These triangles are similar but not congruent. One triangle is bigger than the other, meaning none of the side lengths are the same. On the triangles, two angles are given, a 53 degree and a 90 meaning that you would us the AA rule to determine if they are similar. Which they are.
The two triangles are similar triangles using AA postulate.
What are Similar Figures?Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".
Given one of the angles in both the triangles is equal to 53°, the other angle is 90°, which are also the vertical angles to each other. As shown below.
Hence, the two triangles are similar triangles using AA postulate.
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You brought a magazine for $3 and some candy bars for $2 each. You spent a total of $19. How many candy bars did you buy?
Answers
Answer:
8
Step-by-step explanation:
Answer:
Candy bars: $13
Step-by-step explanation:
$3 magazine + $13 total of candy bars = $19
Use complete sentences to describe why postulates are helpful.
Answers
When multiplying or dividing integers, if the signs are the same, you keep the sign for the answer.
GIVING BRAINLIST PLEASE ANSWER CORRECT!!!
False
True
Answers
Plz help me I will give you brainliest and 10 points
Answers
Answer:
0.08522
Step-by-step explanation:
I WILL MARK BRAINLYEST PLZ HELP IM BEING TIMED!!!!!
Triangle 1 is transformed onto triangle 2 in the graph below.
On a coordinate plane, triangle 1 is rotated to form triangle 2.
Which statement about the transformation is true?
The transformation is a reflection because triangle 2 is a flip of triangle 1.
The transformation is a dilation because triangle 2 is a different size than triangle 1.
The transformation is a vertical translation because triangle 1 slid vertically.
The transformation is a rotation because triangle 2 is a quarter-turn of triangle 1.
Answers
Answer:
c or d
Step-by-step explanation:
cos 2 * (x/2) = (sec(x) + 1)/(2sec(x))
Answers
Answer:
Answer below
Step-by-step explanation:
I really hope it works
38 < 4x - 10
help me out plz n ty
Answers
Answer:
Step-by-step explanation:
Bringing like terms on one side
38 + 10 < 4x
48 < 4x
48/4 < x
12 < x
a triangle has sides measuring 31 in 18in and 25 in what is the perimeter of the triangle
Answers
In ΔKLM, l = 820 cm, m = 560 cm and ∠K=169°. Find the length of k, to the nearest centimeter.
Answers
Answer:
1374
Step-by-step explanation:
delta math
The length of the side k in the given triangle is 1,373.9 cm.
What is cosine law?The law of Cosines, also known as Cosine Rule or Cosine Formula basically relates the length of the triangle to the cosines of one of its angles.
Given that, in ΔKLM, l = 820 cm, m = 560 cm and ∠K=169°, we need to find the length of side k,
Using the cosine law,
k² = l²+m² - lmCos169°
= 820²+560²-(820)(560)cos169°
= 1,373.9
Hence, the length of the side k in the given triangle is 1,373.9 cm.
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What is the area of this triangle?
Answers
f(x) = 5x^2 + 14
g(x) = 4x + 8
What is f(g(-8))?
Answers
Answer:
it is 24
Step-by-step explanation:
i did andn i got 1000
PLLLS helpppp mee this is due now T-T
Answers
Answer:
Step-by-step explanation:
Answer:
= 2 and 5
Step-by-step explanation:
( 4 - 7x ) + ( 2x - 2 ) = 0
4 - 7x = 2x - 2 = 0
-7x -2x - 2 + 4 = 0
-5x - 2 = 0
-5 x = 0 or -2 = 0
x = 5 x = 2
What is the solution to the equation? 13 3/4+X= 7 1/ 4
Answers
Answer: x=-6 1/4
Step-by-step explanation:
*PLEASE HELP ME ASAP* Sydnis room is 32 ft by 40 ft. She needs to make a scale drawing of her room that is 8 in. by 10 inc. What is the scale she needs to use?
1 inch = 8ft
1 inch = 4 ft
1 inch = 2 ft
1 inch = 1 ft
Answers
If x : 3 = 5 : 7 , then x = ………
Answers
Answer:
the answer is A which 2(1/7)
Evaluate the expression 42 + 5/9y
Answers
5
9
5
9
and
y
y
.
42
+
5
y
9
Olivia has a points card for a movie theater. She receives 80 rewards points just for signing up. She earns 2.5 points for each visit to the movie theater. She needs at least 105 points for a free movie ticket. Write and solve an inequality which can be used to determine xx, the number of visits Olivia can make to earn her first free movie ticket.
Answers
Answer:
10 visits
Step-by-step explanation:
According to the scenario, calculation of the given data are as follows,
Rewards for signing up = 80 points
Reward per visit = 2.5 points
Total points needed = 105
Let, number of visits = x
So, we can calculate number of visits by using following formula,
80 + (2.5 × X) = 105
2.5X = 105 - 80
2.5X = 25
X = 25 ÷ 2.5
X = 10 visits.
Hence, Olivia needs to make 10 visits in order to earn a free movie ticket.
What is the value of
2021
−
2223
+
2425
?
?
Answers
Answer:
2223
Step-by-step explanation:
We need to find the value of 2021-2223+2425.
Firstly subtract 2223 from 2021.
2021-2223 = -202
Now add -202 and 2425. So,
2425 +(-202) = 2223
So, the value of 2021-2223+2425 is 2223. Hence, this is the required solution.
