Answer:
(A) P = A/1 + rt
Step-by-step explanation:
A = P(1 +rt)
Divide both sides by (1 + rt)
A/(1 + rt) = P
P = A/(1 + rt)
The correct equations which is equivalent in terms of P is,
P = A / (1 + rt)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The equation A = P(1 +rt) represents the formula to find the total amount owed on a loan, A,
where, P represents the principal amount borrowed, r is the rate of interest, and t is the time of period for which the loan is repaid.
Hence, We can simplify expression for P as;
A = P (1 + rt)
Divide both side by (1+rt);
A / (1 + rt) = P
P = A / (1 + rt)
Thus, The correct equations which is equivalent in terms of P is,
P = A / (1 + rt)
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PLZZZ HELP FAST What is the product of Three-fourths and Negative StartFraction 6 over 7 EndFraction? Negative StartFraction 7 over 8 EndFraction Negative StartFraction 9 over 14 EndFraction StartFraction 9 over 14 EndFraction StartFraction 7 over 8 EndFraction
Answer:
-9/14 so the answer is B
Step-by-step explanation:
Hope this helps
Answer:
b <3
Step-by-step explanation:
edge 2021
Use the midpoint formula
In a running race, the 200-meter dash is run in approximately 21 seconds. Estimate the time to run the 100-meter dash.
Answer fast!!!
Answer:
10.5 seconds.
Step-by-step explanation:
Remember that this is an estimate. It is meant for you to do in your head. It is not meant for Google or a calculator.
100 meters is 1/2 of 200 meters.
100 meters time is roughly 1/2 that for 200 meters.
21 seconds * 1/2 = 10.5 seconds.
A fruit bowl contains 2 bananas, 5 oranges, and 4 apples. In simplest form, what is the ratio of apples to bananas in the fruit bowl? Explain what your ratio means in the context.
Answer:
2:1
Step-by-step explanation:
Since there are 4 apples and 2 bananas, the ratio of apples to bananas will be 4:2
This needs to be simplified, since both numbers are divisible by 2:
4:2 will simplify to 2:1
So, in simplest form, the ratio of apples to bananas is 2:1
In this context, this means there are 2 apples for every 1 banana in the fruit bowl.
The ratio of the apples to bananas in the fruit bowl is 2:1.
What is a ratio?A ratio in mathematics shows how many times one number is contained in another. For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.
Given that there are 4 apples, 5 oranges, and 2 bananas in a fruit dish. The ratio of apples to bananas will be 4:2 because there are 2 bananas and 4 apples.
This needs to be simplified since both numbers are divisible by 2:
4:2 will simplify to 2:1
Therefore, the ratio of apples to bananas in the fruit bowl is 2:1.
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Graph the line y=kx+1 if it is known that the point M belongs to it:
b
M(2, −7)
Answer:
Step-by-step explanation:
Let be [tex]y = k\cdot x +1[/tex] the expression of the line, where [tex]x[/tex] and [tex]y[/tex] are the independent and dependent variables, respectively. If we know that [tex]x = 2[/tex] and [tex]y = -7[/tex], the value of [tex]k[/tex] is:
[tex]-7 = 2\cdot k +1[/tex]
[tex]2\cdot k = -8[/tex]
[tex]k = -4[/tex]
The equation of the line is [tex]y = -4\cdot x +1[/tex], which is graphed below.
The graph of equation of given line attached below.
Equation of line:Given that equation of line is,
[tex]y=kx+1[/tex]
since, line passes through [tex]M(2,-7)[/tex].
Substitute point in given equation of line.
[tex]-7=2k+1\\\\2k=-8\\\\k=-8/2=-4[/tex]
So that, equation of line becomes, [tex]y=-4x+1[/tex]
Graph of equation of line attached below.
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A man earned $4000 the first year he worked. If he received a raise of $600 at the end of each year, what was his salary during the 17th year?
Answer:
14200
Step-by-step explanation:
Me=smarty
I need help with this integral question! It is short and easy if you know what you're doing. Due in an hour! Thanks!!!
Answer:
[tex]\int _{-3}^4 R(n)dn =7[/tex]
Step-by-step explanation:
Definite Integrals
One of the properties of the definite integrals called This is called internal addition is:
[tex]\int _a^b f(x)dx=\int _a^c f(x)dx+\int _c^b f(x)dx[/tex]
We are required to find
[tex]\int _{-3}^4 R(n)dn[/tex]
And we are given:
[tex]\int _{-3}^0 R(n)dn =12[/tex]
[tex]\int _{0}^4 R(n)dn =-5[/tex]
Thus, applying the internal addition property:
[tex]\int _{-3}^4 R(n)dn =\int _{-3}^0 R(n)dn+\int _{0}^4 R(n)dn[/tex]
[tex]\int _{-3}^4 R(n)dn =12-5=7[/tex]
[tex]\boxed{\int _{-3}^4 R(n)dn =7}[/tex]
A certain form of cancer is known to be found in women over 60 with probability of 0.07. A blood test exists for the detection of the disease, but the test is not infallible. In fact, it is known that 10% of the time the test gives a false negative (i.e. the test incorrectly gives negative result when the woman actually has the cancer) and 5% of the time the test gives false positive (i.e. incorrectly gives a positive result when the woman actually does not have the cancer). What is the probability that a randomly selected woman over 60 will test positive?
Answer:
Throughout the segment below, the definition including its particular question is mentioned.
Step-by-step explanation:
The probability of developing cancer
= 0.07
The probability of someone not getting cancer
= 1 - 0.07
= 0.93
Provided that if women have cancer, the risk of someone not testing positive is:
= 0.10
Therefore, if a female requires cancer, the risk of testing positive
= 1 - 0.10
= 0.90
The Probability of positive test
= 0.055 (whenever a woman does not have cancer)
Therefore, whenever a woman does not have cancer, the risk of not testing positive will be:
= 1 - 0.05
= 0.955
Now,
By using the law of conditional probability, we get
⇒ [tex]P(\frac{B}{A} ) = \frac{P(A \ and \ B)}{P(A)}[/tex]
⇒ [tex]P (A \ and \ B) = P(A)\times P(B)[/tex]
⇒ P (having cancer as well as positive tests) = P(having cancer) × P(Effective results, because she has cancer)
⇒ [tex]0.07\times 0.90[/tex]
⇒ [tex]0.063[/tex]
Correspondingly,
P (not getting cancer and testing effective or positive)
= [tex]0.93\times 0.05[/tex]
= [tex]0.04655[/tex]
P (with a good test result)
= [tex]0.063 + 0.0465[/tex]
= [tex]0.1095[/tex]
Daisy's Flower Shop sold 135,648 flowers during its first year. The second year, the shop sold 9,751 more flowers than it did its first year. The third year, it sold 1,344 more flowers than it did in the second year.
How many flowers did the shop sell during the three years?
Daisy's Flower Shop sold flowers during the three years.
Answer: 427,790
Step-by-step explanation
first year- 135648
second year - 135648+9751= 145399
third year- 145399+1344= 146743
Add all of them together= 427,790
Let a, b, and c be integers. Consider the following conditional statement:
If a divides bc, then a divides b or a divides c
Which of the following statements have the same meaning as this conditional statement, which ones are the negations, and which ones are not neither? Justify your answers using logical equivalences or truth tables.
A) If a does not divide b or a does not divide c, then a does not divide bc.
B) If a does not divide b and a does not divide c, then a does not divide bc.
C) If a divides bc and a does not divide c, then a divides b.
D) If a divides bc or a does not divide b, then a divides c. (e) a divides bc, a does not divide b, and a does not divide c.
Step-by-step explanation:
Given that the logical statement is
"If a divides bc, then a divides b or a divides c"
we can see that a must divide one either b or c from the statement above
A) If a does not divide b or a does not divide c, then a does not divide bc.
This is False because a can divide b or c
B) If a does not divide b and a does not divide c, then a does not divide bc.
this is True for a to divide bc it must divide b or c (either b or c)
C) If a divides bc and a does not divide c, then a divides b.
This is True since a can divide bc and it cannot divide c, it must definitely divide b
D) If a divides bc or a does not divide b, then a divides c.
This is True since a can divide bc and it cannot divide b, it must definitely divide c
E) a divides bc, a does not divide b, and a does not divide c.
This is False for a to divide bc it must divide one of b or c
Answer:
D
Step-by-step explanation:
the area of a square sports arena is 10,000 m². What are the dimensions of the sports arena on the map? Show your work.
Answer:
sorry I don't no the answer
Find the quotient 3,085 +3
Step-by-step explanation:
3,085 + 3 = ..
= 3,000 + 85 + 3
= 3,088
4^2z/3=8(z+2) how do you solve this equation anyone ?
Answer: z=−6
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
If f(x) = 2x2 + 1 and g(x) = x2 - 7, find (f + g)(x).
Answer:
(f+g)(x) = [tex]3x^{2} - 6[/tex]
Step-by-step explanation:
First, lets understand what (f+g)(x) means.
(f+g)(x) is when you are taking the values in the function f(x) and adding it to the values in the function g(x).
So, this is what the equation looks like when you substitute the functions in to (f+g)(x):
(f+g)(x) = [tex](2x^{2} +1) + (x^{2} -7)[/tex]
Now, combine like terms and Simplify:
(f+g)(x) = [tex]3x^{2} - 6[/tex]
This is your final answer.
Simplify -5² + 8|-1| + (-3)
Answer: -20
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-13 1/5 times 4 2/5 hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhiiiii
Answer: Exact form - 1425/25
decimal form -58.08
mixed number form -58 2/25
Step-by-step explanation:
Major League Baseball’s fastest recorded pitch is 105 miles per hour. The distance between the pitcher’s mound and home plate is 60 feet, 6 inches. How long did it take the ball to travel from the pitcher to the batter?
About 0.4 second
About 0.7 second
About 4 seconds
About 7 seconds
Answer:
0.4 or 0.7
Step-by-step explanation: it wouldnt take that long to throw the ball
Answer:
About .4
Step-by-step explanation:
When you are about to hit you see the ball come out from his hand which if he threw slower it would be .7, but in this case in would be .4 because he is throwing 105
The difference of a number and 6 is the same as 5 times the sun of the number and 2 what’s is the number
Answer:
-4
Step-by-step explanation:
let x equal the unknown number
x-6 = 5(x + 2)
You need to distribute the 5
x-6 = 5x + 10
Then subtract x from 5x
-6 = 4x + 10
Subtract the 10 from -6
-16 = 4x
Divide
-4 = x
Seamus has a truck of chairs and tables for a party. There are 8 times as many chairs as tables, for a total of 56 chairs in the truck. How many tables are in the truck?
Answer:
7
Step-by-step explanation:
If an electrician charges $60 an hour and a base fee Of 150 for every house call. Write an equation foR C, in terms of t, res presenting the total cost of the electrician’s services if the electrician spends t hours at the house working
Answer
Basically you need to know how many hours to work then I think it would help your problem.
Step-by-step explanation:
Can someone Please help me
Answer:
Step-by-step explanation:
its has no solution i hope this helps
2. Solve 6x = 48 for x.
a. x = 8
b. x = 288
c. x = 42
d. x = 54
Answer:
The answer is A.
Step-by-step explanation:
Can someone help me with this please :)
Answer:
n=r/p-c/p
Step-by-step explanation:
Multiply to remove the variable from the denominator.
n=r/p-c/p
Answer:
[tex]n = \frac{r - c}{P}[/tex]
I think.
Step-by-step explanation:
[tex]P = \frac{r - c}{n} \\ (n)P = \frac{r - c}{n}(n) \\ Pn = r - c \\ \frac{Pn}{P} = \frac{r - c}{P} \\ n = \frac{r - c}{P} [/tex]
Each cone is wrapped in paper around the side and on the circular top. How much paper would be needed to cover the surface area of the cone including the circular top?
Show the mathematics you used to find your answer. Use units to express your answer.
Answer:
Total surface area = 22 in²
Step-by-step explanation:
Given:
Diameter of circle = 2 in
Radius of circle = 1 in
Slant height = 6 in
Find:
Total surface area
Computation:
Total surface area = πr(l+r)
Total surface area = (22/7)(1)(6+1)
Total surface area = 22 in²
Let F(x)=-7x-12 and g(x)=13-3x. What is f-g?
Answer:
[tex] (f - g)x = -4x - 25 [/tex]
Step-by-step explanation:
Given:
[tex] f(x) = -7x - 12 [/tex]
[tex] g(x) = 13 - 3x [/tex]
Required:
[tex] (f - g)x [/tex]
SOLUTION:
[tex] (f - g)x = f(x) - g(x) [/tex]
[tex] f(x) - g(x) = (-7x - 12) - (13 - 3x) [/tex]
[tex] = -7x - 12 - 13 + 3x [/tex]
Collect like terms
[tex] = -7x + 3x - 12 - 13 [/tex]
[tex] (f - g)x = -4x - 25 [/tex]
Later, the teaching assistant in Nick’s physics course gives him some advice. "Based on past experience," the teaching assistant says, "working on 15 problems raises a student’s exam score by about the same amount as reading the textbook for 1 hour." For simplicity, assume students always cover the same number of pages during each hour they spend reading. Given this information, in order to use his 4 hours of study time to get the best exam score possible, how many hours should he have spent working on problems, and how many should he have spent reading?
Answer:
3 hours working on problems, 1 hour reading
Step-by-step explanation:
From the given information:
We learned that If Nick can attempt more than 15 problems in an hour, working on problems will helo and aid further his grade for that particular hour than reading would.
We know that the marginal gain for three hours is greater than 15. This implies that Nick would get better by spending 3 hours on problem-solving and the rest 1 hour on reading since the marginal gain for that an hour is one problem solved. Hence, it will be advisable to spend it on reading.
The number of tails in 3 tosses of a coin
Answer:
there are 8 possible outcomes if that is what the question is.
otherwise the answer is 6 because 2 times 3 is 6
Which number is the additive inverse of -10 1/4
Answer:
:)))))))))))))))))))))))))))))
10 1/4
Answer:
I hope this helps
Step-by-step explanation:
I’ll give you a brainiest and a thanks.
A worker bee has a mass of 0.00011 kg.
Choose the best approximation of the mass of a worker bee.
Choose 1 answer:
A: 1 • 10^-4 kg
B: 1 • 10^-3 kg
An African elephant has a mass of 8139 kg.
Choose the best
Approximation of the mass of an African elephant.
Choose 1 answer:
A: 8 • 10^3 kg
B: 8 • 10^4 kg
Answer:
Question 1: A
Question 2: B
Step-by-step explanation:
Question 1: A
Question 2: B
The DVD player shows the time of day as 1:43.
The movie still has 53 minutes to run.
What time will the DVD player show at the end of the movie?
Answer:
The answer is 2:36
Step-by-step explanation:
The answer is 2:36 because 1:43 plus 56 minutes later would be 2:36
find the slope, vertical intercept and horizontal intercept of (2,9) and (4,3)
Answer:
M = - 3
Step-by-step explanation:
Find the Slope:
Slope is equal to the change in y over the change in x
, or rise over run.
m = [tex]\frac{change in Y}{change in X}[/tex]
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Substitute in the values of x and y into the equation to find the slope.
m = [tex]\frac{3-(9)}{4-(2)}[/tex]
Simplify.
m = [tex]\frac{-6}{2}[/tex]
m = -3
