Answer:
The amount that would be in the account after 30 years is $368,353
Step-by-step explanation:
Here, we want to calculate the amount that will be present in the account after 30 years if the interest is compounded yearly
We proceed to use the formula below;
A = [P(1 + r)^t-1]/r
From the question;
P is the amount deposited yearly which is $4,500
r is the interest rate = 2.5% = 2.5/100 = 0.025
t is the number of years which is 30
Substituting these values into the equation, we have;
A = [4500(1 + 0.025)^30-1]/0.025
A = [4500(1.025)^29]/0.025
A = 368,353.3309607034
To the nearest whole dollars, this is;
$368,353
are any of these equations linear or nonlinear if yes what is the standard form
a. y=-7+6x
b. y=2x+5
Answer:
both are linear
a) 6x - y = 7
b) 2x - y = -5
Step-by-step explanation:
hi, please help me with this thank you!
Suppose the sum of two integers is negative. Must both integers be negative? Explain.
Answer:
Not necessarily. There are many ways to write a basic equation with a negative answer. For example, -3-4 = -7. Here 4 is a positive number but because you subtract 4 to 3 or take away 4 from 3 being a negative number and so you get a negative answer. Another example is 6+(-9). There are a couple of ways you can resolve this. My method is to subtract 9 from 6 which gives you 3 and simply add a negative sign.
Let me know if you'd like more examples. Hope this helps!! Sorry if it is confusing I can explain you in a more simpler way if you'd like.
Step-by-step explanation:
The sum of two integers is negative, here both integers are negative.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Given that the sum of two integers is negative.
And both integers are negative
Let a < 0, b < 0
Using a model a + b < 0
Substitute the values a = -1, b = -2, and c = -3 in the inequality of model
⇒ (-1) + (-2) < 0
⇒ -1 - 2 < 0
⇒ -3 < 0
So, the sum of two integers is negative.
Hence, the sum of two integers is negative, here both integers are negative.
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9 divided by 315
Peals help
Answer:
0.028571429 or 1/35
Or if you meant 315 divided by 9 it’s 35
Step-by-step explanation:
9 ÷divided by 315 equals 0.02857 (rounded to five decimal places) or approximately 0.03.
When dividing 9 by 315, we set up the division equation: 9 ÷ 315. To perform the division, we start by dividing the first digit, 9, by the first digit of 315, which is 3. Since 3 can be divided evenly into 9, the quotient is 3.
Next, we bring down the next digit, 1, making the current dividend 15. We continue dividing 15 by 3, resulting in a quotient of 5. Finally, there are no more digits to bring down, so the division is complete.
Therefore, 9 ÷ 315 equals 0.02857 (rounded to five decimal places) or approximately 0.03.
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assume that the variable under consideration has a density curve. it is given that 27.1% of all possible observations of the variable are less than 17. Determine the area under the density curve that lies to the right of 17.
Answer:
72.9%
Step-by-step explanation:
Given that :
27.1% of all possible observation of a certain variable are less than 17 ;
That is ;
Let variable = y ;
Proportion of (y < 17) = 27.1% = (27.1 / 100) = 0.271
Proportion that lies to the right :
P(y > 17) = 1 - P(y < 17)
P(y > 17) = 1 - 0.271
P(y > 17) = 0.729 = 72.9%
PLS HELP MY GRADE DEPENDS ON IT
Image is attached below
Answer: the first one
Step-by-step explanation: head math
Help out pleaseeeeeeeeeeeeeeeee
2.
Mrs Yusuf went shopping at a superstore.
The pie chart shows information about the money she spent on petrol, on clothes, on food and on
other items
Puro
bao
Food
Clothes
(a) What did she spend most money on?
Answer:
Dude First show the pie chart
Mrs. Yusuf spend the most money on Food.
Given is pie chart showing the information about the money Mrs. Yusuf spent on petrol, on clothes, on food and on other items,
We need to identify the portion which tell that she spend the most money on that item,
So, we know that the more portion one item has on the pie chart the more she had spend on that item,
Here in the pie chart we can see the food portion is largest.
So, we can say she spend her most money on food items.
Hence the correct answer is Food.
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What if it is asking you to divide and not multiply?
Answer:
Then you divide :)
<3 Enjoy,
Dea
HELP ME I NEED HELP WITH THIS!?!?! I WILL MARK BRAINLIEST!!!
Answer:
The answer is -70
Step-by-step explanation:
How I got the answer.....
-21-49 = -70
Hope this helps! :)
which transformation is happening in the image below
Answer:
B.) Reflection over y=-3
Step-by-step explanation:
f(x + 1) = 2x + 1
g(x + 1) = x-5
> (fog)(2) = ?
The owner of 12 book stores is buying 32 copy's of a book for each of his stores. How many books will he buy in all?
Answer:
384
Step-by-step explanation:
12 book stores and 32 copies of a book for each book store
12 times 32 = 384 books
2 + 2
please tell me I am clueless
Answer:
22
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
put 2 fingers up then put up 2 more then count them all
Abracadabra 4
If the interest of sum of money is 6 yrs in 3/8 of the principal . what is the rate of interest?
Given that,
The interest of sum of money is 6 yrs in 3/8 of the principal.
To find,
The rate of interest.
Solution,
Let P is the principal. It means interest will be :
I=3/8 P
The formula for the interest is given by :
[tex]I=\dfrac{PRT}{100}\\\\\dfrac{3}{8}P=\dfrac{PR\times 6}{100}\\\\\dfrac{3}{8}=\dfrac{6R}{100}\\\\R=\dfrac{300}{8\times 6}\\\\=6.25\%[/tex]
Hence, the rate of interest is 6.25%.
10 POINTS !!!! solve using elimination -2x - y = 5 3x -y = -20 ( , )
Answer:
(-5,5)
Step-by-step explanation: add the equations in order to solve first variable. put the value in the other equations to solve the remaining variables- math way
There are 12 1/4 pounds of candy canes to split between four classes evenly. How many pounds of the candy canes will each class get ?
each class gets 3 and 1/16 pounds
can anyone help me with this math question
The third is true
ok bye
lm'iranian
11years old
which rectangle is similar to a rectangle 12 inches wide and 18 inches long
Answer:
do u have pics?
Step-by-step explanation:
Question
Tara deposits $5,000 in a certificate of deposit. The annual interest rate is 7%, and the interest will be compounded
quarterly. How much will the certificate be worth in 10 years? Round your answer to two decimal places.
Answer:
Step-by-step explanation:
The formula for this is
[tex]A(t) = P(1+\frac{r}{n})^{nt}[/tex] where A(t) is the amount at the end of this whole mess, P is the initial investment, r is the interest rate as a decimal, n is the number of times the compounding is done per year, and t is the number of years. Filling in accordingly:
[tex]A(t)=5000(1+\frac{.07}{4})^{(4)(10)}[/tex] which simplifies a bit to
[tex]A(t)=5000(1+.0175)^{40[/tex] and a bit more to
[tex]A(t)=5000(1.0175)^{40}[/tex] Take care of the exponent first to get
A(t) = 5000(2.001597343) and multiply through to get
A(t) = 10,007.99
Answer:
$10048.31
Step-by-step explanation:
4. -5x-15=-3x+23
29. -107-7x=73-13x
EXPLAIN STEPS AND SHOW WORK
THANKS BROTHA
`•••~Low_Millenial~•••`
°°°°°°Tutor and pal°°°°°°°
Answer:
x=-19 x=30
Step-by-step explanation:
-5x-15=-3x+23
-23 -23
-5x-38=-3x
+5x +5x
-38=2x
/2 /2
-19=x
-107-7x=73-13x
-73 -73
-180-7x=-13x
+7x +7x
-180=-6x
30=x
Last night, the Knicks made 12 free throws. If their free throw percentage is 75%, how many free throws were attempted? (READ CAREFULLY!)
Answer:
16
Step-by-step explanation:
12 / 16 = 0. 75
i found this by dividing 12 by 0.75
Look at the table of values below.
х
у
1
-1
2
-3
3
-5
4
-7
Which equation is represented by the table?
O A. y=1 - 2x
OB. y=-x-1
OC. y = x - 2
OD. y=2x-1
The equation is represented by the table is y= 4x - 1.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have the table
x y
1 3
-1 -5
2 4
-3 -7
Now, using the above table we can write the equation
(y - 3) = (-5-3)/ (-1-1) (x- 1)
y - 3 = (-8) / (-2) (x -1)
y - 3 = 4 (x - 1)
y - 3 = 4x - 4
y = 4x - 4 +3
y= 4x - 1
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A surveyor is trying to find the length of a lake. He finds a baseline distance AB of 125 m. Angle A is measured to be 41.6° and angle B is measured at 124.3°. Find the length of the lake d. Please and Thank you.
Answer:
[tex]d = 340.7m[/tex]
Step-by-step explanation:
See attachment for question illustration
From the attachment, we have:
[tex]AB = 125m[/tex]
[tex]<A = 41.6[/tex]
[tex]<B = 124.3[/tex]
Required
Solve d
First, we need to calculate <C
[tex]<A + <B + <C = 180[/tex] --- angles in a triangle
[tex]41.6+ 124.3 + <C = 180[/tex]
[tex]165.9+ <C = 180[/tex]
Make <C the subject
[tex]<C = 180 - 165.9[/tex]
[tex]<C = 14.1[/tex]
Next, we apply Sine's law to solve for d
[tex]\frac{A}{Sin\ A} = \frac{B}{Sin\ B} =\frac{C}{Sin\ C}[/tex]
In this case:
[tex]\frac{d}{Sin\ 41.6} = \frac{125}{Sin\ 14.1}[/tex]
Make d the subject
[tex]d = \frac{125 * sin\ 41.6}{sin 14.1}[/tex]
[tex]d = \frac{125 * 0.66392621265}{0.24361501178}[/tex]
[tex]d = \frac{82.9907765812}{0.24361501178}[/tex]
[tex]d = 340.663639629[/tex]
[tex]d = 340.7m[/tex]
Hence, the base of the lake is approximately 340.7m
Estimate the coordinates of the point where the two lines meet.
Choose two equations that make up the system represented by the graph.
y=54x
y=6−2.5x
y=2.5x+6
y=6−3x
y=0.8x
Using point-slope form, write the equation of the line that passes through (–3, 2) and has a slope of 5. A. (y – 2) = 5(x + 3) B. (y – 2) = 5(x – 3) C. (y + 2) = 5(x – 3) D. (y + 2) = –5(x + 3)
Answer:
A. (y - 2) = 5(x + 3)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Point (-3, 2)
Slope m = 5
Step 2: Write Equation
Substitute in variables into general form.
y - 2 = 5(x + 3)
Solve the following equation for the value for x.
7(0.3x - 0.9) = 6x-0.6 (18 +4x)
Complete the missing angle measures given that l and m are parallel
143 because 180-37 is 143
How many 1/2 yard lengths are in 1 yard
Answer:
1/2 yard is equal to 18 inches
Step-by-step explanation:
Meredith borrows $12,560 and pays 2% simple interest each year for 4 years. What is the total amount of interest that she will pay on the loan?
Answer:
A = $13,564.80
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 2%/100 = 0.02 per year.
Solving our equation:
A = 12560(1 + (0.02 × 4)) = 13564.8
A = $13,564.80
The total amount accrued, principal plus interest, from simple interest on a principal of $12,560.00 at a rate of 2% per year for 4 years is $13,564.80.
Answer:
its b
Step-by-step explanation: