Answer: $80536.9
Step-by-step explanation:
From the question, at the end of a year, the total debt of a country stood at about $24 trillion and the country has a population of 298 million.
To calculate the amount in dollars per person, we divide the gross debt by the population. This will be:
= 24 trillion ÷ 298 million
= 24,000,000,000,000 ÷ 298 000 000
= 80536.9
The amount in dollar per person will be $80536.9
Zac invests $3500 at 8% p.a. simple interest for a period of time, to produce $210 interest. For how long did he invest the money?
Please help me in the steps to finding the answer and also the solution. Thx
Answer:
9 months
Step-by-step explanation:
simple interest ( I) is calculated as
I = [tex]\frac{PRT}{100}[/tex]
P is the principal, R the rate of interest and T the time in years
Here I = 210, P = 3500 and R = 8, thus
210 = [tex]\frac{3500(8)T}{100}[/tex] = 35 × 8T = 280T ( divide both sides by 280 )
0.75 = T
Thus T = 0.75 years = 9 months
The money was invested for 9 months
Answer:
9 months
Step-by-step explanation:
investment= 3500
interest rate= 8% PA simple
time= x years
Interest= $210
---------------
3500*0.08*x=210280x=210x=210/280=3/4 year3/4 year= 3/4*12 month= 9 months
Find the value of x in this polygon
30% of blank equals 12
Answer:
40
Step-by-step explanation:
If you divide 30 by three, you get the 10%, which is 4, you multiply the 10% by ten to get the 100%, and you get 40. Hope this helps:)
I need help ASAP!!!!!
Your initial investment of $20,000 doubles after 10 years. If
the bank compounds interest quarterly, what is your interest
rate?
Answer:
2,000
20,000 *10 /100
this is the answer and this is how to solve it
Which expression is equivalent to
Answer:
the expression is equivalent to x^2/3
Step-by-step explanation:
[x^4/3 x^2/3]^1/3
=[x^4/3+(2/3)]^1/3
by using laws of exponent
a^m a^n=a^m+n
=[x^4/3+2/3]^1/3
=[x^6/3]^1/3
={x^2]^1/3
by using law of exponent
(a^m)^n=a^mn
=x^2×1/3
=x^2/3
i hope this will help you :)
Answer:
x^2/3
option B is the right option
solution,
[tex]( {x}^{ \frac{4}{3} } . {x}^{ \frac{2}{3} }) ^{ \frac{1}{3} } \\ = ({x ^{ \frac{4}{3} + \frac{2}{3} } )}^{ \frac{1}{3} } \\ = ({x}^{ \frac{4 + 2}{3} } ) ^{ \frac{1}{3} } \\ = ( {x}^{ \frac{6}{3} } ) ^{ \frac{1}{3} } \\ = {x}^{ \frac{6 \times 1}{3 \times 3} } \\ = {x}^{ \frac{6}{9} } \\ divide \: 6 \: and \: 9 \: by \: 3 \\ = {x}^{ \frac{2}{3} } [/tex]
hope this helps...
Good luck on your assignment...
Help me plz ASAP!! Will mark Brainliest if you figure it out! 10 points!
Answer:
60%
Step-by-step explanation:
18,000 / 8% = 1440
1,440 + 2,400 = 3,840
1,440 / 2,400 = 0.60
Answer:
60 persent
Step-by-step explanation:
because i also do study island
and i already did that leasonn
Mia made 4 1/2 pounds of trail mix. If she puts 3/4 of a pound into each bag, how many bags can Mia fill?
Answer:
3/4x = 4 2/4
Step-by-step explanation:
x=6 so you can fill 6 bags
Which is an equation of the line with a slope of 2 that passes through (3,−5)?
A. y+5=2(x−3)
B. y−5=2(x+3)
C. y−5=3(x−2)
D. y+5=3(x−2)
Answer:
equation of a line= y-y¹=m(x-x¹)
y--5=2(x-3)
y+5=2x-6
y=2x-6+5
y=2x-1
help please Solve 2x2 − 8x = −7
Find the rate of change for the function
A)90
B)60
C)30
D)3
Answer:
It is C for sure
Step-by-step explanation:
given the following, find the values of all six trig functions of x.
1. sin((π/2)-x)=-1/2, csc(x)>0
2. sec((π/2)-x)=3, cos(x)<0
What is csc in the first one?
Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted: rectangle with a length of x plus 15 and width of x plus 10 with a rectangle in the bottom right corner labeled bench that has a length of 5 and width of 1
a=(x+20)(x+11)
a=(x+15)(x+10) + 5
a=(x+15)(x+10) - 5
a=(x+9)(x+10)
Answer:
C
Step-by-step explanation:
A patio=(x+15)*(x+10)
A bench=5*1=5
A painted=A patio-A bench
A painted=(x+15)*(x+10)-5
thus, the answer is C
The painted area is [tex]a=(x+15)(x+10)-5[/tex]. So, option C is correct.
Important information:
Length of rectangular patio is (x+15).Width of rectangular patio is (x+10).Length of bench is 5.Width of bench is 1.Area of rectangle:Area of a rectangle is:
[tex]A=Length \times Width[/tex]
Area of rectangular patio is:
[tex]A_1=(x+15)(x+10)[/tex]
Area of bench is:
[tex]A_2=5\times 1[/tex]
[tex]A_2=5[/tex]
The painting area is:
[tex]a=A_1-A_2[/tex]
[tex]a=(x+15)(x+10)-5[/tex]
Therefore, the correct option is C.
Find out more about 'Area of rectangle' here:
https://brainly.com/question/3133832
I need help with this pls
Answer:
Look at the attachment
Answer:
See below;
Step-by-step explanation:
For each consecutive vale of x, simply substitute into the chart as x, solving for the output of y;
Input ( x ) | Function Rule ( y = x / 2 ) | Output y |
0 | y = 0 / 2 | 0 |
1 | y = 1 / 2 | 0.5 |
2 | y = 2 / 2 | 1 |
4 | y = 4 / 2 | 2 |
Which graph represents the solution set for the quadratic inequality x^2+2x+1>0?
Answer:
x > -1 (Answer D)
Step-by-step explanation:
Note that x^2 + 2x + 1 > 0 is equivalent to (x + 1)^2 > 0. This has two solutions: {-1, -1} (two real, equal roots). The solution set includes all real numbers such that x > -1 (Answer D)
What is the sum of the interior angles of the polygon shown below?
Answer:
Step-by-step explanation:
Write the linear equation in the slope-intercept form when m=1 and b=-12
Answer:
y = x - 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Here m = 1 and b = - 12 , thus
y = x - 12 ← equation of line
You are making pies for your class. The recipe calls for 2/3 cups of sugar for every 2 pies. You realize that you want to make 5 pies for your class to make sure everybody gets a piece. How many cups of sugar will you need for all 5 pies? Input your answer as a whole number or improper fraction.
Answer:
5/3
Step-by-step explanation:
The area of a square is 81cm squared . What is the perimeter of the square?
Answer:
36 cm
Step-by-step explanation:
The area of a square is given by
A = s^2
81 = s^2
Take the square root of each side
9 =s
We want the perimeter
P =4s
P= 4*9
P = 36
2) An employee makes a job change. Her original salary was $65,000, and her salary at her new job is $54,000. What percent decrease was her salary change?
Please show your work for full credit.
Answer:
An employee makes a job change.
Her original salary was S1 = $65,000.
Her salary at her new job is S2 = $54,000.
=> The percentage of change in her salary:
C = (|S2 - S1|/S1) x 100 = (|54000 - 65000|/65000) x 100 = 16.9%
Hope this helps!
:)
Answer:
Step-by-step explanation:
Decreased amount =65,000 - 54,000 = $ 11000
[tex]Percentage=\frac{11000}{65000}*100\\\\=\frac{1100}{65}\\\\[/tex]
=16.92%
A truck is bought at the price of $67,000. The price decreases at the rate of .30 every year (t). Which equation matches this exponential model?
Answer:
f(t)=67,000(.70)t
Step-by-step explanation:
correct answer on my test
Answer:
f(t) = 67,000(.70)t
Step-by-step explanation:
took the test and got it right
hope this helps
One month Mr. Moore made 3 withdrawals of $20 and 1 withdrawal for $80 from his account. How did the withdrawals change the amount in his account?
Answer:
65 :)
Step-by-step explanation:
If we are given x such that 25^x-9^y=18 and 5^x-3^y=3, compute 5^x+3^y.
25 = 5*5 and 9 = 3*3, which we can exploit to write
[tex]25^x-9^y=(5^2)^x-(3^2)^y=5^{2x}-3^{2y}=(5^x)^2-(3^y)^2[/tex]
so that this expression is actually a difference of squares. We can factorize this to get
[tex](5^x-3^y)(5^x+3^y)=18[/tex]
and given that [tex]5^x-3^y=3[/tex], we divide both sides by this to get
[tex]5^x+3^y=\dfrac{18}3=\boxed{6}[/tex]
1. A breakfast cereal is made of oats, nuts, and raisins. The advertisements boast that 25% of the cereal in each box is almonds. What portion of each box is not almonds?
2. A breakfast cereal is made of oats, nuts, and raisins. The advertisements boast that 25% of the cereal in each box is almonds. If each box contains 12 cups of cereal, how many cups of almonds are in each box?
3. A breakfast cereal is made of oats, nuts, and raisins. Each box contains 12 cups of cereal, and 4 cups are oats. What percentage of each box is oats?
Answer:
Step-by-step explanation:
1) The advertisements boast that 25% of the cereal in each box is almonds. It means that the percentage of the other cereals in the box is 100 - 25= 75%
Therefore, the portion of each box that is not almonds is 75/100 = 0.75
2) The advertisements boast that 25% of the cereal in each box is almonds. If each box contains 12 cups of cereal, then the number of cups of almonds in each box is
25/100 × 12 = 3 cups
3) if each box contains 12 cups of cereal, and 4 cups are oats, then the percentage of each box that is oats is
4/12 × 100 = 33.33%
Felix drew two box-and-whisker plots to compare the same sets of data: In the form of a paragraph, use complete sentences to describe some of the differences in the prices of the two sets of books. Refer to the box and whisker plots to justify your answer.
Answer:
The first set of data shows that the difference in the prices is very small while the second set of data shows a larger variety of prices. The first set represents its prices in equally divided groups making it easier to read and determine than the second set of data.
Write each as a percent. Round to the nearest tenth of a percent
Answer:
[tex]10.7\%[/tex]
Step by step explanation
hope this helps
brainliest appreciated
good luck! have a nice day!
Step-by-step explanation:
0.107
= 0.107/100 × 100 = 0.107 %
PLS ANSWER ASAP FASTTT
Answer:
26.9 i think
Step-by-step explanation:
Answer:
26.9
Step-by-step explanation:
I have attached the work to your problem.
Please see the attachment below.
I hope this helps!
Write a compound inequality for the graph shown below.
Use x for your variable.
Answer:
-3 < x ≤ 4
Step-by-step explanation:
x is between -3 and 4, but -3 is not included in the solution set:
-3 < x ≤ 4
Please answerr giving brainliest to correct answer
Answer:
[tex]$\text{P(Choose Cab Once)}=\frac{4}{9} $[/tex]
Step-by-step explanation:
In the morning Elizabeth has three transportation options to work.
It is [tex]$\frac{1}{3} $[/tex] :
In the evening Elizabeth has the same three transportation options to go home.
It is [tex]$\frac{1}{3} $[/tex] again.
But if we consider that she will take the cab once, the options will change to [tex]$\frac{2}{3} $[/tex] because now she can choose 2 options out of 3.
[tex]$\text{P(no cab) }= \frac{2}{3} $[/tex]
In order to use the cab once, we have two options:
She will use the cab in the morning or she will use the cab in the evening:
First route (cab in the morning):
[tex]$\text{Route 1}=\text{P(Choose Cab) } \cdot \text{P(Choose another one)} $[/tex]
[tex]$\frac{1}{3} \cdot \frac{2}{3} $[/tex]
Second route (cab in the evening):
[tex]$\text{Rote 2}=\text{P(Choose another one) } \cdot \text{P(Choose Cab)} $[/tex]
[tex]$\frac{1}{3} \cdot \frac{2}{3} $[/tex]
We have two routes, so
[tex]\text{P(Choose Cab Once)}=\text{Route 1}+\text{Route 2}[/tex]
[tex]$\text{P(Choose Cab Once)}=\frac{1}{3} \cdot \frac{2}{3} +\frac{1}{3} \cdot \frac{2}{3} $[/tex]
[tex]$\text{P(Choose Cab Once)}=\frac{2}{9} \cdot \frac{2}{9} $[/tex]
[tex]$\text{P(Choose Cab Once)}=\frac{4}{9} $[/tex]
The first two steps for simplifying 180 are shown below.
Complete the last step by simplifying the expression. What
is 180 simplified?
Step 1: 180 = 5.3.3.2.2
06
Step 2: 75.3 - 3:2.2 = V5 -32.22
O 65
0 30
30/5
Save and Exit
Next
Submit
Answer:
B
Step-by-step explanation: