Answer:
$700.000 is the interest
Step-by-step explanation:
hope the answer helps
Simple interest is the interest calculated on the principal at a given rate for a time period.
The simple interest is given as,
SI = (Px R x T) / 100
The total interest is $2100.
What is simple interest?It is the interest calculated on the principal at a given rate for a time period.
The simple interest is given as,
SI = (Px R x T) / 100
We have,
P = $5000
R = 7%
T = 6 years
SI = P x R x T / 100
SI = 5000 x 7 x 6 / 100
SI = 50 x 7 x 6
SI = 50 x 42
SI = $2100
Thus,
The total interest is $2100.
Learn more about simple interests here:
https://brainly.com/question/25845758
#SPJ2
Rewrite this problem combining like terms!!
2 m − 3 m + 4
Please Help Me!
Solve for x. Round to the nearest tenth if necessary.
A motor-boat takes the same time to travel 80 miles downstream as it takes to travel 60 miles upstream. If the speed of the stream is 5 miles/hr, find the speed of the motor-boat in still water.
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let a represent the speed of the motor boat in still water and t represent the time. Hence for downstream:
a + 5 = 80/t
t = 80/(a + 5)
For upstream:
a - 5 = 60/t
a - 5 = 60 / (80/(a + 5))
a - 5 = 0.75a + 3.75
0.25a = 8.75
a = 35 miles per hour
The speed of the motor-boat in still water is 35 miles per hour.
Find out more on speed at: https://brainly.com/question/751218
Troy pays a one-time rental fee of $25 and $15 per day to rent a bicycle.
Write an expression that gives the amount Troy pays to rent
d days
Answer:
y = 15d + 25 or y = 15x + 25
What's the percentage multipier for 0.6%?
Answer:
Solution Given;
0.6%=0.6/100=0.006
So
0.006 is the percentage multipier for 0.6%.
Let's check
We need to convert it into decimals
0.6%0.6×1/1000.6×0.0010.0060.006 is the answer
Simplify please...Simplify Simplify
Answer:
See images.
Step-by-step explanation:
For these kinds of problems, get a common denominator. Put everything over that common denominator and add or subtract the terms in the numerator. Combine like terms. See images.
Answer:
Here are the answers.
Step-by-step explanation:
Draw the straight line y=2x-3
Answer:
graph is in linked files
Step-by-step explanation:
what type of solution results in exactly one
x and one y value?
Answer:
An independent system of equations
I do not know how to answer these questions, can someone explain what I would do to solve them?
Answer:
Step-by-step explanation:
The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours. D(t) = StartLayout enlarged left-brace 1st Row 1st column 300 t 125 , 2nd column 0 less-than-or-equal-to t less-than 2. 5 2nd Row 1st column 880, 2nd column 2. 5 less-than-or-equal-to t less-than-or-equal-to 3. 5 3rd Row 1st column 75 t 612. 5, 2nd column 3. 5 less-than t less-than-or-equal-to 6 EndLayout Which times and distances are represented by the function? Select three options. The starting distance, at 0 hours, is 300 miles. At 2 hours, the traveler is 725 miles from home. At 2. 5 hours, the traveler is 875 miles from home. At 3 hours, the distance is constant, at 880 miles. The total distance from home after 6 hours is 1,062. 5 miles.
The distance in given time t is determined by substituting the value of time and solving the equation.
At 2 hours, the traveler is 725 miles from home.
At 3 hours, the distance is constant, at 880 miles.
The total distance from home after 6 hours is 1,062.5 miles.
Given that,
The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.
D(t) = 300t + 125
We have to determine,
Which times and distances are represented by the function?
According to the question,
The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.
D(t) = 300t + 1251. The starting distance at 0 hours is ;
At [tex]0 \leq t < 2.5[/tex]
Then,
[tex]\rm D(t) = 300t + 125 ;\\\\\ D(0) = 300(0) + 125 = 125 \ miles[/tex]
The starting distance, at 0 hours, is 125 miles.
2. The distance at 2 hours is,
[tex]\rm D(t) = 300t + 125 ;\\\\\ D(2) = 300(2) + 125\\\\ D(2) =600+125\\\\ D(2) = 725 \ miles[/tex]
At 2 hours, the traveler is 725 miles from home.
3. The distance at t = 2.5 hours is,
At 2.5 ≤ t ≤ 3.5
D(2.5) = 880 miles (Fixed)
At 2.5 hours, the traveler is 880 miles from home.
4. The distance at t = 3 hours is,
2.5 ≤ t ≤ 2.5
D(3) = 880 miles
At 3 hours, the distance is constant, at 880 miles.
5. The distance at t = 6 hours is,
3.5 < t ≤ 6
[tex]\rm D(t) = 300t + 125 ;\\\\\ D (6)= 75(6) + 612.5\\\\ D(6) = 450 + 612.5\\\\D(6) = 1062.5 miles[/tex]
The total distance from home after 6 hours is 1,062.5 miles.
For more details about Average distance refer to the link given below.
https://brainly.com/question/25969947
Question 5 (1 point)
(07.07)
Find the product of (x - 5)2. (1 point)
оа
X2 + 10x + 25
Ob
x2 - 10x + 25
OC
X2 - 25
Od x2 + 25
Answer:
B. x^2 - 10x + 25
Step-by-step explanation:
(x - 5)^2
(x - 5)(x - 5)
x^2 - 5x - 5x + 25
x^2 - 10x + 25
A_________is a common multiple of two or more denominators
Answer:
(LCM)
Step-by-step explanation:
Least common multiple = LCM
HOPE THIS HELPS :)
Multiplying radicals. Simplify
Answer:
[tex]\sqrt[9]{10}[/tex]
Step-by-step explanation:
When you're multiplying radicals you start by multiplying inside the radical. Break it down so it's easier for you:
1. [tex]\sqrt{15}*\sqrt{6} = \sqrt{90}[/tex] beacause 15 * 6 = 90
2. The next step is to simplify that radical. You simplify by finding factors of that number. The factors of 90 are:
1 * 902* 453 * 305 * 186 * 159 * 10You want to take the biggest factors of that number (yours is 9 * 10). After that you are going to break it down more. What are the factors of 9 and what are the factors of 10? Well the biggest factors of 9 are 3 * 3 and the biggest factors of 10 are 5 * 2, so 10 cannot be broken down anymore because it doesn't have two of the same numbers so 10 is going to stay the same, but 9 has two of the same number (3). What we're left with is [tex]\sqrt[3]{10}[/tex] because the same numbers stay out of the radical and the single number stays inside.
3. We can't forget about the 3 that we left out, so what we're going to do is write [tex]3 *\sqrt[3]{10}[/tex]. When you multiply that out you keep the outside with the outisde which results in the answer being [tex]\sqrt[9]{10}[/tex] because this cannot be simplified anymore.
Please I need help asap
Answer:5/5 then 10-7 then 6/2
Step-by-sanation:
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
<
Step-by-step explanation:
d20) A department store buys 200 shirts at
of $2,400 and sells them at a selling price of $20
each. Find the percent markup.
Pls answer now I need it pls
Greg is recording the changes in his bank account balance. In the morning, he records a deposit of $7. In the afternoon, he records a purchase of
$8
Create two expressions that each represent the total change in Greg's bank account balance after his deposit and purchase. Move numbers
to the lines to create the expressions.
Expression a: _-_
Expression b: _-_
Choices -8, -7, 7, 8
Answer:
Step-by-step explanation:
i think that it is either -7 - -8 or -7 + 8 or -7+-8.
Two expressions that each represent the total change in Greg's bank account balance after his deposit and purchase are
Expression a = 7 - 8
Expression b = -8 - (-7)
What is expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.
For example, x + y is an expression, where x and y are terms having an addition operator in between.
Given,
Greg records deposit of $7
He records purchase of $8 b
Total change = 7 + (-8)
Expression a = 7 - 8
Expression b = -8 - (-7)
Hence, 7 - 8 and -8 - (-7) are the two expressions for total change in Greg's bank account after his deposit and purchase.
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ2
What is the LCD of 8/9 and 2/3
The price of a pair of shoes increases from $54 to $68. What is the percent increase to the nearest percent? [The percent increase is ___%]
Answer:
25.93%
Step-by-step explanation:
Percent change formula is [tex]\frac{(V_2-V_1)}{|V_1|}[/tex]x 100
v2 = value 2
v1 = Value 1
now you substitute in.
[tex]\frac{68-54}{|54|}[/tex]x 100
[tex]\frac{14}{54}[/tex]x100
0.259259x100
= 25.9259% or 25.93%
Learning Task 3: Solve the following problems. Write your SOLUTION and
your answers in you notebook.
1. What is the quotient if 24 is divided by 48?
2. Jean has 35 m of wire for hanging pictures. She wants to divide it into
50 pieces for her frames. How long will she use for each frame?
3. Father left Php5.00 for his 7 children. How much did each child
receive?
4. Mang Ricky is a hardworking man who owns 6 hectares of land. In his
will, he divided his lot equally among his 7 sons. How much land will
each of his son receive?
5. Troy and Raffy went to the market to buy 15 kilos of meat. When they
came home, they divided the meat into 16 parts and put each part in
separate plastic bags for future use. How many kilos of pork does each
bag contain?
1. The quotient is 0.5.
2. She will use 0.7m long for each frame.
3. Each child received 0.71 Php.
4. Each son will receive 0.85 hectares.
5. Each bag contains 0,93 kilos.
1. What is the quotient if 24 is divided by 48?24 / 48 = X0.5 = X2. Jean has 35 m of wire for hanging pictures. She wants to divide it into 50 pieces for her frames. How long will she use for each frame?35 / 50 = X0.7 = X
3. Father left Php5.00 for his 7 children. How much did each child receive?5/7 = X0.71 = X
4. Mang Ricky is a hardworking man who owns 6 hectares of land. In his will, he divided his lot equally among his 7 sons. How much land will each of his son receive?6/7 = X0.85 = X
5. Troy and Raffy went to the market to buy 15 kilos of meat. When they came home, they divided the meat into 16 parts and put each part in separate plastic bags for future use. How many kilos of pork does each bag contain?15/16 = X0,93 = X
Learn more about maths in https://brainly.com/question/25927059
Use the standard algorithm to solve 4,761 ÷ 23 = ________.
Answer: 207 Remainder 0
Step-by-step explanation:
HELP PLZ I NEED THIS DONE ASAP
[tex]\text{Given that,}\\\\y^2 +9y +3 \\\\\text{when}~ y = -2,\\\\(-2)^2 +9(-2) +3 = 4-18+3 = 7 -18 = -11,[/tex]
a pond of a water has length20m and breadth 10m. how much kl of water should be taken out of the pond so that level of water should go down by 3m?
Answer:
600 kl
Step-by-step explanation:
The volume represented by a length of 20 m, a breadth of 10 m, and a depth of 3 m is ...
V = (20 m)(10 m)(3 m) = 600 m³
1 m³ = 1 kl
The volume of water that should be removed is 600 kl.
Which number sentence is not true?
101 < 100
101 = 0
|-100[< 101
1-100] > [0]
The first one & the second one
Answer:
Both first and second one are not true.
Step-by-step explanation:
The first one translates to "101 is less than 100". This statement is false.
Second one translates to " 101 is equal to 0". Obviously, this isn't true.
Hope this helps! Brainliest would be appreciated!!
the set $s = \$ contains the first $50$ positive integers. after the multiples of 2 and the multiples of 3 are removed, how many integers remain in the set $s$?
Clearly, |S| = 50.
Count the multiples of 2 between 1 and 50:
⌊50/2⌋ = ⌊25⌋ = 25
(where ⌊x⌋ denotes the "floor of x", or the largest integer that is smaller than or equal to x; in other words, round down to the nearest integer)
Count the multiples of 3 between 1 and 50:
⌊50/3⌋ ≈ ⌊16.667⌋ = 16
Since LCM(2, 3) = 6, the sets of multiples of 2 and multiples of 3 have some overlap. Count the multiples of 6 between 1 and 50:
⌊50/6⌋ ≈ ⌊8.333⌋ = 8
Then by the inclusion/exclusion principle, we remove from S
25 + 16 - 8 = 33
elements, so that the new set S contains 50 - 33 = 17 elements.
choose the number that is less than:3.15 x 10A.1.11 x 10B.9.9 x 10C.36,500D.3.26 x 10
Amy went to the store and bought 5 shirts that cost $10.59 each. She gave the cashier $60. How much change did she get back?
pls help and please show how you got it pls
Answer:
The answer is $7.05.
Hope it helps.
Step-by-step explanation:
Okay so Amy bought 5 shirts for $10.59 EACH.
So what we have to do is $10.59 x 5 which equals to $52.95. The final step is to take away $60.00 from $52.95. $60.00 - $52.59 = $7.05.
So Amy gets $7.05 change back.
Suppose in order for a bill to pass in Congress, 50% of voters must be in favor of it. In a random sample of 150 voters, 62 said that they were in favor of a new bill. State the p-value assuming the alternative hypothesis is Ha ≠.50 (Round to the nearest hundredth.)
Using the z-distribution, it is found that the p-value is of 0.03.
At the null hypothesis, it is tested if the proportion is of 0.5, that is:
[tex]H_0: p = 0.5[/tex]
At the alternative hypothesis, it is tested if the proportion is different of 0.5, that is:
[tex]H_a: p \neq 0.5[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are: [tex]p = 0.5, n = 150, \overline{p} = \frac{62}{150} = 0.4133[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.4133 - 0.5}{\sqrt{\frac{0.5(0.5)}{150}}}[/tex]
[tex]z = -2.12[/tex]
The p-value is found using a z-distribution calculator, with z = -2.12 and a two-tailed test, as we are testing if the mean is different of a value, hence it is of 0.03.
To learn more about the use of the z-distribution for hypothesis tests, you can take a look at https://brainly.com/question/16313918
sub duplicate ratio of 16:9 is
The sub duplicate ratio of 16:9 is
4: 3
Sub duplicate ratiosThe sub-duplicate ratio is found by finding the square root of both the numerator and denominator
The given ratio is 16:9
Find the square root of 16
[tex] \sqrt{16} = 4[/tex]
Find the square root of 9
[tex] \sqrt{9} = 3[/tex]
Combining the two square roots that were found, the sub duplicate is:
[tex] \frac{4}{3} [/tex]
Therefore, the sub duplicate ratio of 16:9 is
4: 3
Learn more on sub duplicate of ratios here: https://brainly.com/question/25881746
Please help what is the answer its a math question find the lcd!!!
Step-by-step explanation:
sorry I don't now but when I now I will tell you ok but mybe it 12×12×12