Answer:
5(x+y) - 2x
this is the algebraic expression
Mr. Flores opened an account with a deposit of $5,000.
• The account earned annual simple interest.
• He did not make any additional deposits or withdrawals.
• At the end of 4 years, the balance of the account was $6,500.
What is the annual interest rate on this account?
A. 5.8%
B. 7.5%
C. 3.3%
D. 1.9%
Answer:
B. 7.5%
Step-by-step explanation:
First, we need the Simple Interest (S.I)
Total = Principal + Simple Interest
T = P + S.I
6500 = 5000 + S.I
[make S.I the subject of the formula]
S.I = 6500 - 5000
S.I = 1500
Simple Interest = (Principal × Rate × Time) / 100
S.I = (P × R × T) / 100
1500 = (5000 × R × 4) / 100
1500 = 20000R / 100
1500 = 200R
[divide both sides of the equation by 200]
1500 / 200 = 200R / 200
R = 1500 / 200
R = 7.5
The annual interest rate is 7.5%
Mia is 7.01568 x 10^*6 minutes old. Convert her age to more appropriate units using years, months, and
days. Assume a year has 365 days and a month has 30 days.
Mia is
years=,
= months, and =
days old.
[tex]7.01568 * 10^6=7015680[/tex] minutes
There are:
60 minutes in an hour
24 hours in a day (60 * 24 = 1440 minutes)
30 days in a mouth (1440 * 30 = 43,200 minutes)
360 days in a year (1440* 365 = 525,600 minutes)
To find out how many years old she is we must divide the number of minutes old she is by the number of minutes in a year.
7015680 / 525,600 = 13 years with a remainder of 182,880 minutes
To find out how many months old she is we must divide the remaining minutes by the number of minutes in a month.
182,880 / 43,200 = 4 months with a remainder of 10,080 minutes
To find out how many days old she is we must divide the remaining minutes by the number of minutes in a day.
10,080 / 1440 = 7 days
Answer: Mia is 13 years, 4 months and 7 days old
A map represents every 18 kilometers with 1 centimeter. If two locations are actually 54 kilometers apart, how many centimeters apart are the two locations on the map?
A scale on a map is used to compare one length with another length.
The two locations on the map are 3 centimeters apart.
From the question, a map represents every 18 kilometers with 1 centimeter. Hence:
18 kilometers = 1 centimeter
54 kilometers = ?
Cross Multiply
54 kilometers x 1 centimeter / 18 kilometers
= 3 centimeters.
Therefore, the two locations on the map are 3 centimeters apart.
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help plz i need help help help plz
Answer:
The answer is 3x3x3x3
Step-by-step explanation:
Reason: The 4 on top is an exponent. That exponent shows how many 3's you need to put. You need to put 4 3's, so 3x3x3x3
please help this is due today
Answer:
Q4) 256 roses
Q5) 40 hamburgers
Q6) 60 professors and 168 lecturers
Q7) 20 percussionist on the sideline
Step-by-step explanation:
Q4) First to set up a proportion you simply have to write a letter to represent the missing number. In this case we'll be using x. So it'll look something like these:
I) 160:5 = x:8 (using colon) or
II) 160/5 = x/8 (as two equal fractions)
You can use one of the two above.
I used the fractions here to solve the question.
After setting up the proportion, your going to cross multiply to get the value of x so its going to look like this:
160×8 = 5×x
1280 = 5x
5x = 1280
Now you have to divide on both sides to isolate x.
5x÷5 = 1280÷5
x = 256
Therefore your answer is 256 roses.
Q5) Use the same method in Q4.
Q6) This is where the proportion using colon comes in. It should look like this 5:14. 5 representing the professors and 14 the lecturers. Now it said that the total number of faculty members is 228.
First thing your going to do is add the proportion together. So basically 5+14=19.
After acquiring this your going to use the sum to divide the total number of faculty members which is 228. So 228÷19=12.
And finally you now have to multiply both sides of the proportion by 12. Therefore 5×12:14×12
60:168
To make sure the answer is right add the proportions of the working above which will give you the total number of faculty members. 60+168=228.
Your final answer: There are 60 professors and 168 lecturers.
Q7) Use the same method done in Q6.
I gave the answers to questions 5 and 7 because I wanted to give you the opportunity to try out the working outs yourself for a better understanding on your part and see if you can get the same answers as me. Anyway hope this helped.
isolated triangle 68 perimeter equal sides more than 10 ft use x for the shorter side formula
Answer:
Step-by-step explanation:
Find the perimeter of an isosceles triangle whose equal sides have a size of 10 m each and the angle between them equal to 30°. We need to know all sides in order to find the perimeter of this triangle. Let x be the base of this isosceles triangle.
Val started watching a live video on social media. The equation Y + 20 = 120(X + 1) represents Y, the total number of people watching the video as a function of X, the number of minutes since Val started watching.
A - List the slope and what it represents.
B - Write the equation in slope-intercept form.
C - How many people were watching the video when Val started watching? how do you know?
Help asap
Answer:
y = 120x + 100
x = y/120 - 5/6
Step-by-step explanation:
micheal jordan has 72 basketballs,84 baseballs and 48 gold balls and he wants to group them together so that he can donate them to schools in his hometoen.What is the largest number of identicsl groups he can put together without hahing any balls left over
Please hurry please!
Answer:
b
Step-by-step explanation:
Need help with this math question
Answer:
The answer is $48
Step-by-step explanation:
48x15=720
Please help me with this.
Answer:
(3,-7)
Step-by-step explanation:
The point where they cross is the solution
For every pound a company spends an advertising it spends 26p on its website express the amount spent on advertising to the amount spent on its website as a ratio in its simplest form
Answer:
£1 = 100p
100:26
÷2
=50:13 thats the answer
A polynomial is a factor of another polynomial if when divided they have a remainder of zero. True or False.
Answer:
True
Step-by-step explanation:
The Factor theorem states that for any polynomial f(x) if f(c)=0 then x-c is a factor of the polynomial f(x).
If any polynomial f(x) is divided by x-a and remainder is 0 that means f(a)= 0 .In other words we can say x-a is a factor of the polynomial f(x).So the statement :If a polynomial is divided by (x-a) and the remainder equals zero then (x -a) is a factor of the polynomial is True.
Have a happy day! <3Miss Hawaii
Please help I’m offering a lot!!
What one word completes the following sentence?
_____angles formed
by a transversal of parallel lines are
congruent and all the_______
angles are supplementary to all the obtuse angles.
Answer:
right
Step-by-step explanation:
two transverse lines make a right angle ... no triangle gas 2 right angles
1. Which description is most accurate for a Zero-Based Budget?
a. You spend your checking account balance down to $0 every month
b. You put every dollar of your take-home pay into a budget category each month
C. You pay every one of your debts down to $0 every month
The correct answer is A. In a Zero-Based Budget, you spend your checking account balance down to $0 every month.
Zero-base budgeting is an analysis and planning method that is used in cost management, in which the budget is planned from base zero.
Each department has to define different measures for the coming period. The total budget is now divided among the most important measures until it is used up. Particularly important measures are carried out with the special solution, rather unimportant measures with the minimal solution.
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Donna bought 5 bags of dog treats for $10.90. What is the cost per bag of dog treats? A. $0.46 B. $2.73 C. $15.90 D. $2.18
Answer: $2.18
Step-by-step explanation:
You are trying to solve for the cost of one bag or unit cost. Take
the amount of money spent and divide it by the number of bags
purchased.
10.90 ÷ 5 = 2.18
If m∠10 = 70, then find the m∠14 and state the angle relationship.
The measure of m∠14 is 110 degrees and the angle relationship is a supplementary angles
Let us assume that angle m∠10 and m∠14 are supplementary, this means that the sum of both angles will be 180 degrees.
Since the angles are supplementary, hence the required expression will be:
m∠10 + m∠14 = 180
Given that m∠10 = 70 degrees
70 + m∠14 = 180
m∠14 = 180 - 70
m∠14 = 110 degrees
Hence the measure of m∠14 is 110 degrees and the angle relationship is a supplementary angle.
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Please help I'll mark you the brilliantest
Answer:
12)
a =140º
b=40º
c=40º
d 140º
Step-by-step explanation:
a line is 180º
I need help with my homework I’m not good at math. Anyways the question is
| -6|
Answer:
the answer is 6
Step-by-step explanation:
the absolute value is how far from 0 the number is on the number line. -6 is 6 away from 0
b. You can determine how many times greater the range of one internet company is than the other by writing their ranges as a ratio that compares the range of Winnies wireless access devices to the range of Ivan’s wireless access devices.
Answer:
1.32 x 104: 2.64 x 103
1.32 x 10*4 1.32
------------ = ----- x 10*4-3 = 0.5 x 10 = 5
2.64 x 10*3 2.64
Step-by-step explanation:
Last year the depth of the river was 4.2 feet deep. This year it dropped 7%. Find the depth of the river this year to cross it.
Answer:
7/100 × 4.2 = 0.294ft
(find 7% of 4.2 ft)
4.2-0.294= 3.91 ft
(subtract 7% from 4.2ft)
FINAL ANSWER: depth of river this year is 3.91 ft
here is a graph of a polynomial function with degree 4 what statements are true about the function?
The statements that are true about the functions are:
The leading coefficient is positive.
It has two relative maximums
It has four linear factors.
One of the zeroes is x = 2.
What is a polynomial?Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
From the graph,
The graph passes through the following points on the graph.
x = -4
x = -2
x = 2
x = 6
This means the polynomial function is:
P(x) = (x + 4)(x + 2)(x - 2)(x - 6)
If we simplify the polynomial we get,
P(x) = (x² + 2x + 4x + 8) (x² + 6x - 2x + 12)
P(x) = [tex]x^{4}[/tex] + 6x³ - 2x³ + 12x² + 2x³ + 12x² - 4x² + 24x + 4x³ + 24x² - 8x² + 48x + 8x² + 48x - 16x + 96
P(x) =[tex]x^{4}[/tex] + 10x³ + 44x² + 104x + 96
The leading coefficient is positive 1 so it is positive.
The constant term is a positive number (96).
The relative maximum is a point on the graph where the function changes from increasing to decreasing.
So,
From the graph, there is only one point.
So only one relative maximum.
The relative minimum is a point on the graph where the function changes from decreasing to increasing.
So,
From the graph, there are two relative maximums.
The function has four linear factors
(x + 4), (x + 2), (x - 2), and (x - 6).
x = -4, x = -2, x = 2, and x = 6
Thus,
The statements that are true about the functions are:
The leading coefficient is positive.
It has two relative maximums
It has four linear factors.
One of the zeroes is x = 2.
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Violet has taken three test with rhe score of 60,65 and 70. To get an 70 average, what must her grade be on the fourth test? Write and solve an equation to find her third test score.
Answer:
85
Step-by-step explanation:
Equation-
someone please help me
Answer is corresponding angle
A photocopier can print 12 copies in 48 seconds. If the photocopier always copies at the same rate, how
long would it take to make 5 copies?
48 seconds / 12 copies = 4 seconds per copy
4 seconds per copy x 5 copies = 20 seconds
Answer: 20 seconds
wht is the pie equation
Answer: π = c/d
Step-by-step explanation: srry if its wrong im not well at math
Jim rented a truck for one day . There was a base fee of $18.95 and there was an additional charge of 74 cents for each mile driven . Jim had to pay $119.59 when he returned the truck . For how many miles did he drive the truck ??
Answer:
136 miles
Step-by-step explanation:
subtract $119.59 with how much he rented the truck for, which is $18.95 which makes his money at $100.64, then divide by how much each mile costed which was 74 cents
which gives you 136 so 136 miles.
Hope this helps :)
5. Alex bought two hots dogs, fries, and a water at the food truck. The hot dogs were
$2.35 each and the fries were $1.25. When he paid with a $10 bill he received $1.45 in
change. How much was the water?
35 4.7070
Answer:
2.60
Step-by-step explanation:
4.70 hotdogs
fries 1.25
water 2.60= 8.55-10=1.45
1. Write a quadratic equation for the parabola that passes through the
point (2, -3) with roots (-6, 0) and (4,0).
The quadratic equation with the given conditions is:
[tex]f(x) = \frac{3}{16}(x^2 + 2x - 24)[/tex]
The standard form of a quadratic equation with roots [tex](x_1,0)[/tex] and [tex](x_2,0)[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2)[/tex]
In which a is the leading coefficient.
In this problem, the roots are [tex]x_1 = -6, x_2 = 4[/tex], thus:
[tex]f(x) = a(x - (-6))(x - 4)[/tex]
[tex]f(x) = a(x + 6)(x - 4)[/tex]
[tex]f(x) = a(x^2 + 2x - 24)[/tex]
It passes through point (2,-3), which means that when [tex]x = 2, f(x) = -3[/tex], and this is used to find a.
[tex]a(2^2 + (2)(2) - 24) = -3[/tex]
[tex]-16a = -3[/tex]
[tex]a = \frac{3}{16}[/tex]
Thus, the equation is:
[tex]f(x) = \frac{3}{16}(x^2 + 2x - 24)[/tex]
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( BRAINLIEST QUEATION)
Before Ahmed started to diet. his mass was 108kg. His mass now is 88kg. What percentage of his original mass has he lost?
Answer:
Step-by-step explanation:
Weight decreased = 108 - 88 = 20 Kg
Percentage decrease = [tex]\frac{20}{108}*100[/tex]
= 18.52%