Answer:
D; $4,250
Step-by-step explanation:
Here, we want to know the amount that was invested in the 5% account
We proceed as follows;
Let the amount invested in the 5% interest account be $a and the amount invested in the 8% interest account be $b
We have it that the total investment amount is $11,000
Mathematically, since total is 11,000; we can add a and b to give this
a + b = 11,000 •••••••••(i)
Now, let us work with the interests
Interest earned will be;
Percentage of interest * Amount invested
For the 5% interest account, the interest earned will be;
5/100 * a = 5a/100 = 0.05a
For the 8% interest account , the interest earned will be;
8/100 * b = 0.08b
By adding the interests on both account, we can get the total amount of interest earned
We can have this as;
0.05a + 0.08b = 752.50 •••••(ii)
From equation i above;
b = 11,000 - a
Substitute this into ii
0.05a + 0.08(11,000-a) = 752.5
0.05a+ 880 - 0.08a = 752.5
0.08a-0.05a = 880-752.5
0.03a = 127.5
a = 127.5/0.03
a = $4,250
5.) On Wednesday, a restaurant serves coffee to 75 of 150 of its customers.
What percent of the customers ordered coffee?
Answer:
50%
Step-by-step explanation:
Long division
Answer:
50%
Step-by-step explanation:
To find the percent, divide 75 by 150 and multiply by 100:
75/150
= 0.5
0.5(100)
= 50
So, 50% of the customers ordered coffee
Each of the numbers 0, 2, 4, 6, 8, 10, 12, and 14 is written on a separate sheet of paper and placed into a box. One piece of paper is selected at random. Find the probability that the piece of paper selected contains the number 8 or a number less than 12.
Answer:
For the second, all numbers less than 12, that would be 87.5%
Step-by-step explanation:
There are eight numbers. 100 divided by 8 is 12.5. 12.5 multiplied by 7 is 87.5.
which COULD be the new coordinates of point D?
Answer:
It is B
Step-by-step explanation:
4, -4 is longer than 2 units
-2, -2 is longer than 2 units
-1, -4 is longer than 2 units
In 8 divided by 1/5 the number 8 is the?
Answer:
Dividend
Step-by-step explanation:
Dividend ÷ Divisor = Quotient
Answer:
Dividend
Step-by-step explanation:
Can someone help me pls
Answer:
(-0.5, 0)
Step-by-step explanation:
The easiest way to do this question is by going to the left 0.5 and seeing how far you need to go up or down.
a car was purchased last year for $28,500. now its value is $25,510. at what rate is the car's value depreciating each year?
Answer:
The car's value is depreciating by $2,990 per year.
Step-by-step explanation:
To solve this problem, we just need to subtract the cars value this year, or $25,510, from the car value of last year, or $28,500.
28,500 - 25,510 = $2,990
Since the car value was $2,990 more just last year, the car's value is depreciating by $2,990 per year.
Hope this helps! :D
Sharon makes bracelets and necklaces to sell at the school fair. She makes a total of 40 bracelets and necklaces. She makes 3 times as many bracelets as necklaces. Which system of equations can be used to determine how many bracelets, x, and how many necklaces, y, she m
Answer:
So, the system of equations are
x+y=40
x= 3 y
Step-by-step explanation:
Let's make system of equations for the given information.
Let x number of bracelets and y number of necklaces made.
So, for the information
She makes a total of 40 bracelets and necklaces, we can set up equation as
x+y=40
Now, for she makes 3 times as many bracelets as necklaces, we can set up equation as
x=3 y
QUESTION 15!1!!11!JAKQKQKAKAKS
Answer:
2 groups of 3 boys = 6
Step-by-step explanation:
Six Sigma refers to achieving a process variability so small that the design specifications represent ___ standard deviations above and below the process mean.
Answer:
six
Step-by-step explanation:
Six sigma is defined as the method or a set of techniques that provides the provides the organization tools and techniques to improve the capability and and be efficient of their business process. It is a concept of process improvement.
It refers to the achieving of a process variability very small so that the design specification represents six standard deviations which is above as well as below the process mean.
What is the first step in isolating the variable in this equation?
(2) p + 75 = 100
D
Subtract 75 from both sides.
B
Subtract 1/2 from both sides.
с
Divide both sides by 75.
D
Divide both sides by 1/2
Answer:
Subtract 75 from both sides.
brainliest for the correct answer
Answer:
2250 m
Step-by-step explanation:
30 cm = 0.3 m
1 : 75 :: 0.3 : x
Product of extremes = product of means
1 *x = 75 * 0.30
x = 75 * 0.30
x = 22.5 m
Answer:
22.5 m
Step-by-step explanation:
Convert to meters
.3 / x = 1/75
multiply .3 by 75 to get 22.5 m
Two taxi services charge different rates. Taxi A charges $0.70 per mile
traveled plus an initial charge of $3.00. Taxi B charges $0.90 per mile
traveled. The situation is modeled by this system, where x is the number of
miles traveled and y is the charge for that distance, in cents:
y = 70x + 300
y = 90x
How many miles must each taxi travel for the charges to be equal, and what
is the charge for that distance?
A. Each must travel 9 miles, and the charge is $8.10.
B. Each must travel 10 miles, and the charge is $10.00.
C. The charges will never be equal no matter how far each travels.
Answer:
none of the above
Step-by-step explanation
70x + 300 = 90x
300 = 20x
15 = x
Answer:
each must travel 15 miles, and the charge is $13.50
Step-by-step explanation:
a8ex
There are 57 balls in a bucket. The balls are numbered from 1 to 57. One ballis randomly selected from the bucket.
What is the probability that ball #54 is chosen?
Answer:
1/57
Step-by-step explanation:
im really slow help please
HELP ME 50 POINTS RN.
Answer:
the last one. hope I help u
Answer:
S<30
need explain that?
Problem
Choose the inequality that represents the following graph. 32 points
Answer:
D
Step-by-step explanation:
cause its going bigger, but it also has 0 in the line so it could have 0 in it. So its D
A sequence is recursively defined by f(1)=3,f(n)=2* f(n-1) for n >=2. Write the equation for the nth term
Given:
[tex]f(1)=3,f(n)=2\times f(n-1)[/tex] ...(i)
For [tex]n\geq 2[/tex].
To find:
The nth term for the given recursive formula.
Solution:
The given recursive formula is of the form of
[tex]f(n)=r\times f(n-1)[/tex] ...(ii)
It is the recursive formula of a GP, where r is common ratio.
On comparing (i) and (ii), we get
[tex]r=2[/tex]
Now,
First term: [tex]a=f(1)=3[/tex]
Common difference: [tex]r=2[/tex]
nth term of a GP is
[tex]f(n)=ar^{n-1}[/tex]
Putting a=3 and r=2, we get
[tex]f(n)=3(2)^{n-1}[/tex]
Therefore, the equation for the nth term is [tex]f(n)=3(2)^{n-1}[/tex].
1. For a soccer party, Juan collects $90 for pizza. He must buy more than 5 pizzas to
feed the team. Pizzas are $7.25 for a small pizza and $10.50 for a large pizza. Let:
S = number of small pizzas he can buy & L = number of large pizzas he can buy.
Select the system of inequalities that represents this situation.
Answer:
7.25S + 10.50L ≤ 90
The system of inequalities that represents a given situation are S+L>5 and 7.25S+10.50L≤90.
Given that, For a soccer party, Juan collects $90 for pizza. He must buy more than 5 pizzas to feed the team. Pizzas are $7.25 for a small pizza and $10.50 for a large pizza.
What are inequalities?Inequalities are mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Let S = the number of small pizzas he can buy and L = the number of large pizzas he can buy.
Juan must buy more than 5 pizzas to feed the team.
That is, S+L>5
Pizzas are $7.25 for a small pizza and $10.50 for a large pizza=7.25S+10.50L
Juan collects $90 for pizza. So, 7.25S+10.50L≤90
Therefore, the system of inequalities that represents a given situation are S+L>5 and 7.25S+10.50L≤90.
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If Jose has a car with a mass of 55,000 kg and it is acted upon with a force of 200 Newtons. What is the acceleration?
Answer:
275 m/s2
Step-by-step explanation:
I know because I had this question in a test and got it correct.
Given the value of the force applied and the mass, the acceleration of Jose's car is 0.0036m/s².
What is force?A force is simply referred to as either a push or pull of an object resulting from the object's interaction with another object.
From Newton's Second Law, force is expressed as;
F = m × a
Where is mass of object and a is the acceleration
Given the data in the question;
Mass of the rock m = 55000kgForce F = 200N = 200kgm/s²Acceleration a = ?We substitute our given values into the expression above.
200kgm/s² = 55000kg × a
a = 200kgm/s² ÷ 55000kg
F = 0.0036m/s²
Given the value of the force applied and the mass, the acceleration of Jose's car is 0.0036m/s².
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What's the nth term of the following question:
−
5
,
−
7
,
−
9
,
−
11
,
−
13
Answer:
-21
Step-by-step explanation:
-13 +(-2) = -15
-15+(-2) = -17
-17+(-2 )=- 19
-19+ (-2)= -21
PLEASE HELP whats the answer for this problem
Answer:
it is 20 me and that other kid did the same thing
Step-by-step explanation:
5x+12 + 3x+8 =180
8x=180-20
8x=160
hope that helps brainly plz
x=20
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!
Answer:
11,60,62
Hope this helps
Southlake Cable charges $50 per month for basic cable and $5 for each premium movie channel. Lakeview Cable charges $41 per month for the same cable package and $6.50 for each premium movie channel. The graph of the equations representing the costs for each company is shown in the graph.
Answer:
Six movie channels, because 5(6) + 50 = 6.5(6) + 41
Step-by-step explanation:
A puppy weight increases by 15% each week for the first 6 months. The puppy currently weight 3.7 pounds. which expression will not calvulate how much the puppy will weigh in 1 week? A) 3.7(0.15) B) 3.7(1.15) C) 3.7 + 3.7(0.15) D) 3.7 + 0.555
Answer:
B) 3.7(1.15)
Step-by-step explanation:
What is the value of 2(5b - 7) in terms of y if b = 3y ?
Nathan usually drinks 38 ounces of water per day. He read that he should drink 66 ounces of water per day. If he starts drinking 66 ounces, what is the percent increase? Round to the nearest percent.
Answer:
73.6%
Explanation: 38 is the old value and 66 is the new value. In this case we have a positive change of 73.68... percent because the new value is greater than the old value.
DOG has coordinates D(3,2), O( 2,-4), G(-1,-1) .A translation maps point D to D (2,4). Find the coordinates of O and G under the translation.
Answer:
If you're on edge and it's the multiple choice one it would be a
What is the domain of the square root function graphed below?
8
6
4
2
-6 -4
6
8
х
-6
X>1
O x21
OOOO
x>3
x23
Mark this and return
Save and Exit
Next
Submit
Answer:
x ≥ 3
Step-by-step explanation:
the domain of a graph consists of all the input values shown on the x -axis
The domain of the square root function graphed below would be x ≥ 3
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable , functions are indispensable for formulating physical relationships.
The domain is all real numbers for x>3 and the range of the square root function graphed is equal to the interval------> [1,∞)
so, the range is all real numbers for x>3
Hence, the domain of a graph consists of all the input values of the x -axis.
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-8(4+1)
Giving brainlist to the person who gets it right
Answer:
-40
Step-by-step explanation:
I think that's the answer
Answer:
-32
Step-by-step explanation:
solve with order of operations (PEMDAS)
-8(4+1)
-8(4)
-32
−(5x−0.4)=−7(−0.4−x) need to be exact or rounded to the nearest hundredth.
Answer:
-0.2
Step-by-step explanation:
it's that exact answer , I did not rounded