Let C(t) be the amount of U.S. cash per capita in circulation at time 1. The table, supplied by the Treasury Department, gives values of C(t) as of June 30 of the specificd year. Interpret and estimate the value of C'(1980).
Answer:
Following are the solution to this question:
Step-by-step explanation:
C'(t) was its time, in years, or t shift of cash per unit. That C'(1980) meaning, therefore, becomes the change of cashier's population to t = 1980.
They could either use t = 1970 or t = 1990 to approximate the C'(1980) price. When using t = 1970:
[tex]C'(1980) = \frac{[C(1980) - C(1970)]}{[1980 - 1970]}\\\\[/tex]
[tex]= \frac{(571 - 265)}{10}\\\\ = \$ \ 30.6 \\[/tex]
t = 1990:
[tex]C'(1980) = \frac{[C(1980) - C(1990)]}{[1980 - 1990]}[/tex]
[tex]= \frac{(571 - 1063)}{ -10} \\\\= \$ \ 49.2[/tex]
Find the future value of an ordinary annuity of $200 paid quarterly for 6 years, if the interest rate is 10%, compounded quarterly. (Round your answer to the nearest cent.)
Answer:
Future value is $1543.12
Step-by-step explanation:
From the question, present value = $200, rate = 10%, years = 6.
So that future value of ordinary annuity can be calculated by,
FV = [tex]\frac{A{[(1+r)^{n} - 1]}}{r}[/tex]
where: FV is the future value, A is the annuity, r is the rate, and n is the number of years.
FV = [tex]\frac{200[(1+0.1)^{6}-1] }{0.1}[/tex]
= [tex]\frac{200[1.1^{6}- 1] }{0.1}[/tex]
= [tex]\frac{200*0.771561}{0.1}[/tex]
= [tex]\frac{154.3122}{0.1}[/tex]
FV = $1543.122
The future value of the ordinary annuity is $1543.12.
Sequence B: consider the sequence 1.5,3,6,12
Answer:
Use the formula
a n = a 1 r n − 1
to identify the geometric sequence.
a n = 1.5 ⋅ 2 n − 1
Answer:
n x 2 = x
Step-by-step explanation:
This is the answer because:
1) 1.5 x 2 = 3
2) 3 x 2 = 6
3) 6 x 2 = 12
Therefore, the pattern in this sequence is n x 2 = x
Hope this helps!
hi I need help with this problem. can anyone you tell me what 5+(-3)
Answer:
2 is the answer.
Step-by-step explanation:
Essentially, you are subtracting 3 from 5.
5 - 3 = 2 is the same as 5 + (-3) = 2
Explain to a Friend Taylor wants to buy a bicycle
that costs $48.75 and a helmet that costs $18.30. She works for her
mom after school to earn the money. If Taylor is paid $5.50 per hour,
will she be able to buy the bicycle and helmet after working 9 hours?
Explain to a friend
Answer: No
Step-by-step explanation:
First add the 48.75 and 18.30 together.
second multiply 5.50 by 9
she would only earn 49.50 so she won’t be able to buy the bike and helmet
what is the sqaure root of (x-3/7) divided by 12x+7 divided by 76.3x?
Answer:
[tex]\sqrt{\frac{3x}{3} } + \frac{10}{109} x[/tex]
Step by step:
[tex]\sqrt{x-\frac{3}{7}[/tex] = [tex]\sqrt{\frac{49x-21}{7} }[/tex]
[tex]\sqrt{\frac{49x-21}{7} }[/tex] ÷ 12x+7=[tex]\sqrt{\frac{7x-3x}{12}} + 7[/tex]
[tex]\sqrt{\frac{7x-3x}{12}} + 7[/tex] ÷ 76.3x = [tex]\sqrt{\frac{3x}{3} } + \frac{10}{109} x[/tex]
Hope this helps!
Look at the attachment.
Answer:
12 cups
Step-by-step explanation:
21:7=3 i mean that's kinda it
3x4=12
What is 13/19 as a decimal rounded to the nearest hundredth
Answer:
0.68421052
then rounded its 0.68
Step-by-step explanation:
Find the number in the hundredth place
8
and look one place to the right for the rounding digit
4
. Round up if this number is greater than or equal to
5
and round down if it is less than
5
.
0.68
can iplease lz have brainliest :0
Answer:
.68
Step-by-step explanation:
13/19 = .68421... .68 is the hundredth rounding, .7 would be if rounding to tenth, and .684 if rounding to thousandth position. .68 is hundredth
Question
Find the multiplicative inverse of 0.13.
Answer:
multiplicative inverse of 0.13 is -100/30
The required inverse of 0.13 is 1 / 0.13.
Given that,
To find the multiplicative inverse of 0.13.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
The inverse of the particular number is that number when it is multiplied by the number that gives the unit. i.e. ab = 1
Here,
Let the required multiplicative inverse be x,
The product of a number and its multiplicative inverse is equal to 1
So,
0.13*x = 1
x = 1 / 0.13
Thus, the required inverse of 0.13 is 1 / 0.13.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
What is the length of the hypotenuse of a right triangle with leg lengths of 8 inches and 15 inches?
I need help ASAP please
Answer:
I dont know the answer but, go on google and look up: Cauculater Soup
I hope it helps :)
Round 14,456 to nearest ten
Answer:
14,460.
Step-by-step explanation:
14,456 up by 4. anything 6 or above goes up. the tenth place is the second to last number.
What is the orders pair that is a solution to this equation, y=x+2
Answer: These are possible solutions:
(0,2) (1,3) (2,4)
Hope this helps..:)
What are the number whose absolute value is -8
Well, the only absolute value of -8 is 8.
Answer:
8
Step-by-step explanation:
Any absolute value of a negative, is the same number but in positive form.
Ex : I-6I = +6
Question 5 of 8
Put these substances in order of density with the most dense first and the
least dense last.
1 iron
Trubber
cotton ball
Ti helium
Answer:
cf
cf
centru. toc htc. toc cf. activ. cfc fgfvxv. chvv
How do I divide 250 by 150 to get a decimal answer plz provide a step by step explanation as I’m not allowed a calculator
Answer:
1.66666666666666666666everlasting 6s
Step-by-step explanation:
250/150
5/3 ( divide by 50)
1 2/3 ( mixed
1.66666666667.everlasting 6s
Hope this helps :D
Answer:
1.666......
( 1.6 recurring).
Step-by-step explanation:
As both numbers are multiples of 10 it makes it a bit easier to divide both by 10 to give 25 and 15. This will give the same result as 250/150.
Now do a long division , 25 divided by 15:
1 .66 <----------- 25 / 15 = 1 . 1*15 goes below the 25.
-------------------------
15 ) 25.0
15 <---------- subtract 25 - 15 = 10
100 <- bring down the zero(after the decimal point) & append to 10
90 < 15 divides into 100 6 times to give 90 . Place 6 above line.
100 < subtract 100 - 90 to give 10 then add 0
90 < as before 100/15 = 6 to give 6*15 = 90
If you carry on as above you'll see that we get 1.6666... and we could go on for ever. This is a recurring decimal and is usually written as 1.6 with a bar above the 6.
May u please help me ill give out the brainly
Answer:
The answer is B.
Step-by-step explanation:
In order to solve this problem, you need to combine like terms, which in this case, are the x's. So, if you add the numbers with the x's together, you get 3x + 12y. The 12y remains untouched because there are no other terms with the same variable.
Hope this helped,
Philip
Brainliest always appreciated! <3
helpppppppp pleasee
Graph the line with the equation y = 2x – 5.
Answer:
y- intercept is -5
(0, -5)
x=5/2 +1/2 y
Step-by-step explanation:
put your first point on y -5
Are the angles 117 in degrees and 477 in degrees coterminal?
Answer:
Yes, they are coterminal.
Step-by-step explanation:
Coterminal angles are angles that are in multiples of -360 degrees or +360 degrees away from the initial angle.
Therefore, the easiest way to check if an angle is coterminal is set up an equation.
[tex]x + 117 = 477\\\\360 + 117 = 477\\\\477 = 477 \ \checkmark[/tex]
We get a true statement, which means that 117 is a coterminal angle of 477 and 477 is a coterminal angle of 117.
We can also determine the value in radians.
[tex]\displaystyle117 \times \frac{\pi}{180}\\\\\frac{117\pi}{180} = \frac{13\pi}{20}[/tex]
117° in radians is [tex]\displaystyle\frac{13\pi}{20}[/tex]. Coterminal angles for radians are multiples of [tex]2\pi[/tex], either negative or positive.
However, we also need to determine the value of 477 in radians too.
[tex]\displaystyle477\times\frac{\pi}{180}\\\\\frac{477\pi}{180} = \frac{53\pi}{20}[/tex]
So, if we add [tex]2\pi[/tex] to [tex]\frac{13\pi}{20}[/tex]:
[tex]\displaystyle\frac{13\pi}{20} + 2\pi\\\\\frac{13\pi}{20} + \frac{40\pi}{20} = \frac{53\pi}{20}[/tex]
Therefore, even in radians, 477° is an angle coterminal to 117°.
You are given 117°.
To find angles that are coterminal with 117°, we do the following:
117° + 360° = 477°
117° - 360° = 243°
As you can see, when we added 117° to 360°, we got 477°.
To answer your question, YES.
You now know that 117° and 477° are coterminal angles.
Keep in mind that 477° is not the only coterminal angle to 117°.
Can someone pls tell me if I’m right I will mark brainliest
Answer:
all should be correct but the last one is -7
Step-by-step explanation:
Answer:
3,0,-7
Step-by-step explanation:
The opposite of -3 would be 3, simply switch the signs.
The opposite of 0 would be 0, because 0 simply has no opposites.
The opposite of 7 would be -7, just switch the signs again.
7x – X – 1=4-7x + 21
Answer:
X=2
Step-by-step explanation:
PLEASE ANSWER QUICKLY!!! PLZZZZZZ!!!
Answer:
1
Step-by-step explanation:
In that question, when it is asking for f(x), think of f(x) = y
When you look at x = -1, the y value is 1.
pls pls help i'll give u a cookie
A study of 1000 randomly selected flights of a major airline showed that 820 of the flights arrived on time. What is the probability of a randomly selected flight not arriving on time?
a. 50/1
b. 9/50
c. 41/50
d. 1/4
Answer:
b. 9/50
Step-by-step explanation:
•the probability of the selected flight arriving on time: 820/1000 = 0.82
•find the probability of the flights not being selected by subtracting 0.82 from 1.00: 1.00-0.82=0.18
•now you look for the answer that equals to 0.18
50/1 =50 nope
9/50 =0.18 yes
41/50 =0.82 nope
1/4 = 0.25 nope
3n + 14= --4 What is the answer
Answer: n = -6
Step-by-step explanation:
3n+14=-4
Subtract 14 from both sides.
3n+14-14=-4-14
Simplify
3n=-18
Divide both sides by 3
3n/3 = -18/3
n=-6
The polygons are similar. Find the value of X and Y
Answer:
X=8, Y=9
Step-by-step explanation:
9/6=1.5
12/1.5=8
6*1.5=9
PLS GIVE BRAINLIEST
Help. Thank you in advance.
Answer:
option 2. mean is larger than median.
Step-by-step explanation:
mean of the set = ( 88+81+93+85+98)/5
= 445/5
= 89
median of the set = 88
the mean of the set is greater than the median.
Your friend says that 1/2 + 1/7 is equal to 2/14 . Is this correct ? not , what mistake did your friend make?
Write 9.36( repeating) as a mixed number in simplest form.
Answer:
Step-by-step explanation:
9.36 is 9 9/25
Marco paid $42.40 for 6.4 Gallons of gas. What is the price of 1 gallon of gas? Group of answer choices
Answer:
6.63
Step-by-step explanation: