you have read 15 pages of a book. you plan to read an additional 12 pages each night. write the explicit formula to represent the number of pages you will read after n nights.
fill in the blanks.
1.
principal: $500
rate: 4.5%
time: ? years
interest earned: $112.50
new balance: ?
2.
principal: ?
rate: 8%
time: 2 years
interest earned: $108.00
new balance: ?
Answer:
One way of awarding interest is called simple interest. Before we provide the formula used in calculating simple interest, let’s first define some basic terms.
Balance. The balance is the current amount in an account or the current amount owed on a loan.
Principal. The principal is the initial amount invested or borrowed.
Rate. This is the interest rate, usually given as a percent per year.
Time. This is the time duration of the loan or investment. If the interest rate is per year, then the time must be measured in years.
To calculate the simple interest on an account or loan, use the following formula.
Simple Interest
Simple interest is calculated with the formula
I=Prt,
where I is the interest, P is the principal, r is the interest rate, and t is the time.
Step-by-step explanation:
One way of awarding interest is called simple interest. Before we provide the formula used in calculating simple interest, let’s first define some basic terms.
Balance. The balance is the current amount in an account or the current amount owed on a loan.
Principal. The principal is the initial amount invested or borrowed.
Rate. This is the interest rate, usually given as a percent per year.
Time. This is the time duration of the loan or investment. If the interest rate is per year, then the time must be measured in years.
To calculate the simple interest on an account or loan, use the following formula.
Simple Interest
Simple interest is calculated with the formula
I=Prt,
where I is the interest, P is the principal, r is the interest rate, and t is the time.
What is the slope of the line passing through the points (-1, 19) (-2, -7)??? M=?
if 4 pounds of potatoes is 3 dollars, how many dollars is 1 pound of potatoes?
Answer: $1.33
Step-by-step explanation:
4 divided by 3
What is the slope of the line that passes through the points (1,-6) and (-8,9)
Answer:
Step-by-step explanation:
Slope = (y2-y1)/(x2-x1) = (9+6)/(-8-1) = -15/9
= -5/3
Write an inequality to
represent “a number is at
most two”
Answer:
x > 2
Step-by-step explanation:
The required inequality to represent “a number is at most two” is x ≤ 2.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
The expression of a number is at most two, implying that a number cannot be more than 2.
So the inequality that best represents the scenario is given as x ≤ 2.
Thus, the required inequality to represent “a number is at most two” is x ≤ 2.
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There are 10 fruits in a basket and 5 of them are apples. Write the ratio in simplest form.
Answer:
10:5= 2:1
Step-by-step explanation:
Hope this helped!! Give brainliest..
Answer:
If the ratio is 10:5 your answer would be 2:1
Step-by-step explanation:
Juan needs to simplify the fraction LaTeX: \frac{32}{52}32 52. He will need to divide the numerator and the denominator by the greatest common factor. What is the greatest common factor of 32 and 52?
Answer:
4Step-by-step explanation:
Given the expression, 32/52
Juan need to divide the numerator and the denominator by the greatest common factor
For 32;
32 = 8 * 4
For 53
52 = 13 * 4
Find the ratio
32/52 = (8*4)/(13*4)
32/52 = 8/13
Since 4 is common to both factors, Hence the greatest common factor is 4
What is another way to write the equation
Answer:
the 2nd one
Step-by-step explanation:
all the other ones don't make 6
When p = 12, t= 2, and s = 5. r = 18. If r varies directly with p and inversely with the product of s and t, what is the constant of variation? O col 1 2 O O 18
Answer:
Constant of variation is: 15
Step-by-step explanation:
r varies directly with p and inversely with the product of s and t
It can be written as:
r ∝ p/st
When the proportionality symbol is removed, a constant is introduced which is called constant of variation
So
[tex]r = \frac{kp}{st}[/tex]
Putting p = 12, t= 2, and s = 5 and r = 18
[tex]18 = \frac{k * 12}{2*5}\\18 = \frac{12k}{10}\\12k = 18*10\\12k = 180\\\frac{12k}{12} = \frac{180}{12}\\k = 15[/tex]
Hence,
Constant of variation is: 15
Please help I’ll give you guys brainiest!
Thank youuuuuuu :))
Answer:
look at graph
find the slope of the two points:(9,-6) and (7,-3)
Answer:
-3/2
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
-3-(-6)/7-9
3/-2
-3/2
Best of Luck!
can some one help me on this and thank u
Answer:
2<x<3
Step-by-step explanation:
the first one
A human bone is made up of water 1/4 and 9/20 minerals, and the rest is living tissue. What decimal represents the amount of a human bone that is living tissue?
Answer:
0.3
Step-by-step explanation:
First you need to add 1/4 and 9/20, and you would get 7/10. That only leaves 3/10, which as a decimal is 0.3.
The decimal that represents the amount of a human bone that is living tissue is 0.3
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that human bone is made up of water 1/4 and 9/20 minerals, and the rest is living tissue.
First we need to add 1/4 and 9/20,
Thus we would get 7/10.
That only leaves 3/10, which as a decimal is 0.3.
The decimal that represents the amount of a human bone that is living tissue is 0.3
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Please help me with this it’s 8 grade
Answer:
The correct answer is option B.
Step-by-step explanation:
Hi.I don't know why I am not getting any brainliest answer and if you are kind enough could you please mark me as the brainliest answer and please follow me also.
David wants to buy a new tablet computer. He looks at a sales ad and sees that a computer store is selling a tablet computer for $499 which is 1/3 off the regular price.
Part A:
Write an equation that represents the situation. Let x = the original cost of the tablet.
Part B:
Find the original cost of the tablet computer.
Answer:
Part A: x÷3=$499
Part B: $1497
Step-by-step explanation:
A: Because to find a fraction of somthing we have to divide, so in this case we divided the original price by 3 to get $499.
B:To find the original price we have to multiply the one third of it ($499) by 3 to get the original amount.
determine how many solutions if correct bainliest
Answer:
No solutions
Step-by-step explanation:
6x+2y=20
-3x-y=-4 (by rewriting)
So
6/-3 = 2/-1≠20/-4
-2=-2≠-5
So it has no solutions
ABCD is a parallelogram which statements are true
Which of the following ratios is
not equivalent to the other three?
A 2/3 B 4/5
C 4 to 6 D 8 to 12
Answer:
B: 4/5
Step-by-step explanation:
Here, we simply go on to express the ratios of each of the options in its smallest form
2/3 is already in it’s smallest form
4/5 cannot be divided further
4/6 is same as 2/3
8/12 is same as 2/3
Patrick spent 8 minutes on the phone while routing 2 phone calls. If he routes 4 phone calls, how much time will Patrick have spent on the phone in total? Assume the relationship is directly proportional.
? minutes
Answer:
16
Step-by-step explanation:
8 divided by 2= 4
4 multiplied by 4= 16
Answer:
16
Step-by-step explanation:
Select all simplified expressions of 3^4 divided by 3^9
Witch one is a better buy
Answer
8 cans for 9$
MY EXPLANATION...
You get more cans while paying less. You can go for the 6 for 7$ but the better one is the 8 cans. If you add up the 6 for 7$ to the same amount of the 8 cans, you get the same thing. So BOOM! *mic drop*
Please help in Expontents! Evaluate 2⋅3)2+52
Answer:
Step-by-step explanation:
the answer to the prob is 64 but the answer to the pic is 0
The simplified form of the given exponent is 27.
What is the exponent?Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.
The given expression is 2+5²
Here, 2+25
= 27
Now, 0²=0×0
= 0
Therefore, the simplified form of the given exponent is 27.
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A gallon of gasoline cost $3.00 last year, and now costs 5% more. What is the cost of a gallon of gasoline now?
a) 4.50
b) 3.15
c) 3.05
Answer:
B
Step-by-step explanation:
We know that Last year one gallon costs $3.00
and we also know that it costs %5 more this year.
We know that %100 is always the same which is $3.00
Then since we know $3.00 is %100, we can add %5 to %100 to get %105.
Then you multiply 105/100 by 3 then you will get 3.15 which is what B is
So that means our answer is B
Use the functions
f(x) or g(x) to
answer the
following:
Function f(x) has the equation f(x) = 3x – 4.
Function g(x) has the table of values shown
below.
Which y-intercept
is smaller and how
do you know?
x|g(x)
0] 4
3 5
6 6
9 7
14
Answer:
3 5
Step-by-step explanation:
It just is trust
solve 28m+21=413 thanks!
Answer:
14
Step-by-step explanation:
28m + 21 = 413
28m = 413 - 21
= 392
m = 392/28
= 14
Therefore m is 14 :)
Answer:
14
Step-by-step explanation:
28m+21=413
Subtract both sides by 21
28m=413-21
28m=392
m=14
If asked to multiply 18 by 100 quicky, what is the short cut?
Answer: 18 x 100 = 1,800
Step-by-step explanation:
You take the 100 and you remove the 2 zeros and put them at the back of 18 to get your answer.
Use the graph below to answer questions 1 and 2.
Answer:
x-intercept is x = -4; y-intercept is y = -2
Step-by-step explanation:
1.
The zero or x-intercept is when the line touches the x-axis or horizontal line axis or is when y = 0.
x = -4
2.
The y-intercept is when the line touches the y-axis or vertical line axis or is when x = 0.
y = -2
Simplify:
(25 +17) - 137 – 13|
OA) 15
OB) 18
OC) 20
OD) 21
Answer:
B.)18
Step-by-step explanation:
25+17=42
|37-13|=|24|
42-|24|=18
Answer:
B
Step-by-step explanation:
u do da parenthesis first
A point on a horizontal line has the coordinate (-2,6). What other point would be on this line?
a) (-2,5)
b) (0,6)
c) (2,6)
d) (3,-6)
Answer:
A
Step-by-step explanation:
Since the Line Horizontal all coordinates when x=-2 are correct.