41.803 is 42 rounded to the nearest whole number because when you go past .5 you round to the nearest highest number, but when your below .5 then you round to the nearest lowest number.
Answer: 41.803 rounded to the nearest whole number would be 42. Whenever you go over .5 you round to the nearest highest number. For example, 41.6 would also be rounded to 42.
Elwood invested $5,000 in a money market account and has been tracking its progress. He found that after 3 years, the account held $7,100 and after 8 years, the account held $10,350.
Answer:
The percent of interest is 12.3% per year
Step-by-step explanation:
According to the question Elwood invested 5000 $ in market account
The market account gives the compound interest annually
let p be the interest per year then
At the end of 1st year
amount =(1+0.p) x 5000 = 1.p x 5000
similarly at the end of 2nd year
amount =(1+0.p) x(1+0.p)x 5000 = [tex](1.p)^{2}[/tex] x 5000
similarly at the end of 3rd year
amount = 7100 $ = [tex](1.p)^3[/tex] x 5000
⇒ [tex]\frac{71}{50}[/tex] = [tex](1.p)^3[/tex]
1.392 = [tex](1.p)^3[/tex]
on further solving we get
1.p = [tex](1.42)^{1/3}[/tex] = 1.123
thus 1.p = 1 + 0.p = 1.123
thus p = 0.123
thus the percent of interest is 12.3% per year
Answer:
drop down 1 a slower rate per year
drop down 2 670
Step-by-step explanation:
as in three years you get $7100
you take that and subtract it by your starting amount (5000)
7100-5000= 2100
then divide 2100 by the number of years (3)
to get your annual rate of 700$
then you take the 8 year total and subtract it from your 3 year total
10350-7100= 3250
Then divide that by 5 because that how many years it has been
to get the annual rate of 650
making the 5 year rate slower.
The to find the average rate over all 8 year you take 10350 and subtract it from your starting number 5000
10350-5000= 5350
then take 5350 and divide it by the number of years (8)
you then get you average rate of 668.75
668.75=670
Hope this helps!
What’s the answer???
Answer:
i'm not sure what is it ?
Step-by-step explanation:
A bag contains five red marbles and six blue marbles. Another bag contains five green marbles and five yellow marbles. You randomly pick one marble from each bag. One marble is blue and one marble is yellow.
Skyler has twice as many apples in her grocery bag as her
friends Macy and Janelle combined. Macy has 15 apples
in her bag. Skyler has 50 apples in her bag. How
many apples does Janelle have in her grocery bag?
The equation 2(x + 15) = 50 models this situation. Which choice shows the
sequence of operations needed to solve this problem, using both arithmetic
and algebra?
A. Subtract 15 divide by 2 X = 35/2
B. Subtract by 15 divide by 2 X = 10
C. Divide by 2 subtract by 15 X = 10
D. Divide by 2 subtract by 15 X = 35/2
Answer:
Step-by-step explanation:
It's C.
can someone help me pls
A person invests 3000 dollars in a bank. The bank pays 4.25% interest compounded semi-annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 5600 dollars?
Answer:
The person must leave the money for approximately 14.8 years.
Step-by-step explanation:
This can be calculated using the formula for calculating the future value as follows:
FV = PV * (1 + r)^n …………………………………. (1)
Where;
FV = Future value of the investment = 5600
PV = Present value of the investment = 3000
r = semiannual interest rate = 4.25% / 2 = 0.0425 / 2 = 0.02125
n = number of semiannuals = ?
Substitute the values into equation (1) and solve for n, we have:
5600 = 3000 * (1 + 0.02125)^n
5600 / 3000 = 1.02125^n
1.02125^n = 1.86666666666667
Loglinearizing both sides, we have:
nlog1.02125 = log1.86666666666667
n = log1.86666666666667 / log1.02125
n = 0.271066772286539 / 0.0091320695404719
n = 29.6829509548973
Since n is number of semiannuals, we divide the answer by 2 obtain the number of years as follows:
Number of years = 29.6829509548973 / 2 = 14.8414754774487
Rounding to the nearest tenth of year, we have:
Number of years = 14.8
Therefore, the person must leave the money for approximately 14.8 years.
Solve pls
for the function -2x²+x+1 find f(3)
Answer:
f(3) = -14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = -2x² + x + 1
f(3) is x = 3
Step 2: Evaluate
Substitute: f(3) = -2(3)² + 3 + 1Exponents: f(3) = -2(9) + 3 + 1Multiply: f(3) = -18 + 3 + 1Add: f(3) = -15 + 1Add: f(3) = -14I need help please ten points for question number three !!!!!!!!.......!!!!!!.....
Answer:
where is the question though
Step-by-step explanation:
Answer:
what
Step-by-step explanation:
Which is an example of a statistical question?
|
|How old am 1?
How old is the teacher?
How old will I be after my next birthday?
How old are the students ín math class?
Answer:
Question 4 is a statistical question aka answer D
Step-by-step explanation:
Correct on edge
Martin has 13 liters of soda.
Each glass can hold of a liter
of soda. How many glasses can
Martin completely fill with soda?
Answer:
13
Step-by-step explanation: If each glass can hold 1 liter than 13 glasses can hold 13 liters.
Solve the equation for y.
4x = -2y
A. y= 1/2x + 2
B. y= -1/2x
C. Y= -2x
D. y = x + 2
Answer:
Answer is C...........................
Step-by-step explanation:
Answer:
C.) y = -2x
Step-by-step explanation:
To solve for y, u gotta divide both sides by -2 to get y by itself. When u do that, u get -2x.
Hello Pleasa help ASAP !!!!
WILL GIVE BRAINLIEST !! Ella needs at least $360 to pay for her spring break expenses and she is saving $25 from each of her weekly paychecks. How long will be before she can pay for her trip?
Answer:
At least 15 weeks
Step-by-step explanation:
If Ella needs at least $360, she will have to save her $25 constantly for about 15 weeks.
25*15=375, which is more than 360, so she will have leftover money.
Answer:
2 weeks + 1day
Step-by-step explanation:
7 days a week. 7 + 7 = 14
25 x 14 = $350, missing another 10 dollars.
25 x 15(adding a extra day) = 275.
in change, you have 15 dollars left.
Can somebody help me thank you.
Answer:
perimeter of the following figure will be equal to 440 miles.
Step-by-step explanation:
perimeter refers to measure of total boundaries of a figure
hence perimeter will be the sum off all sides
so , P = 170 + 30 + 160 +80 = 440 miles
i hope u got it.
have a great day .
4(4x -4) + x +4= -46
Answer:
X=-2
Step-by-step explanation:
Let's solve your equation step-by-step.
4(4x−4)+x+4=−46
Step 1: Simplify both sides of the equation.
4(4x−4)+x+4=−46
(4)(4x)+(4)(−4)+x+4=−46(Distribute)
16x+−16+x+4=−46
(16x+x)+(−16+4)=−46(Combine Like Terms)
17x+−12=−46
17x−12=−46
Step 2: Add 12 to both sides.
17x−12+12=−46+12
17x=−34
Step 3: Divide both sides by 17.
17x
17
=
−34
17
x=−2
Answer:
x=−2
Answer:
x=2
Step-by-step explanation:
Hope this helps!! If you need step by step I'll comment it in the comments.
How would you divied 15 in half. If you answer, i will revial 2 things
Answer:
7.5
Step-by-step explanation:
there are 12 boys and 8 girls in the french club.
1) what is the ratio of boys to girls?
A. 2:5
B. 3:5
C: 2:3
D: 3:2
2) what percent of the members of the french group are girls?
A) 8%
B) 40%
C) 60%
D) 75%
Answer:
1)
D. 3:2
2)
B. 40%
as, no. of girls=8
total no. of students =12+8=20
now,
percentage of girls=no.of girls/total no. of students ×100%
=8/20×100%
=40%
help???????
dhdjdjmsjd
Answer:
1/2 over 7/8
Step-by-step explanation:
becauseim smartt
Answer:
the bridge is 90ft long.
Step-by-step explanation:
3/18=15/x
solve for x
use reciprocals to get x as numerator for easier calculation
18/3=x/15
270/3=x
x=90ft
What does this equal me nor my brother can figure this out
Answer:
2 14/18
Step-by-step explanation:
because you just multiply the numerators and denomitors you must make an improper fraction first though
for the function -2x²+x+1 find f(3)
Answer:
-14
Step-by-step explanation:
Plug 3 in for x
-2 (3)² + 3 + 1
-2 (9) + 3 + 1
-18 + 3 + 1
-14
Answer:
f(3) = -14
Step-by-step explanation:
[tex]f(x)=-2x^{2} +x+1\\f(3)=-2(3)^2+3+1\\f(3) = -2(9)+4\\f(3) = -18+4\\f(3) = -14[/tex]
Does anyone know this??? I need help please
Answer:
32
Step-by-step explanation:
QC = 16 and CS = 16 so 16 + 16 = 32
Please help me with question 4 thank you !!
Answer:
b) similar by SSS theorem
Step-by-step explanation:
hii please please help i’ll give brainliest if you give a correct answer tyyyyy
Christine's middle school total of 900 students and 45 teachers. The local high school has 110 teachers and a student-teacher ratio propotional to the middle school's. How many students find when she gets to high school
Answer:
2,200
Step-by-step explanation:
From the above, we were given that;
Total students in Christine's middle school = 900
Teachers in Christine's middle school = 45 teachers
Local high school = 110 teachers
Then, we can write an equation ratio and solve it.
900 students / X = 45 teachers / 110 teachers
If we cross multiply, we'll get
900 × 110 = 45 × X
45X = 99,000
Divide both sides by 45
45X/45 = 99,000/45
X = 2,200
Therefore, Christine would find 2,200 students when she gets to high school.
Consider function h. h(x)= 3x-4 x<0 2x^2-3x+10 0<=x<4 2^x x>=5 What are the values of the function when x=0 and when x=4?
Answer:
[tex]h(0) = 10[/tex]
[tex]h(4) = NaN[/tex] (Not a number)
Step-by-step explanation:
According to the statement, we get the following piecewise function:
[tex]h(x) = \left\{ \begin{array}{ccc}3\cdot x -4,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x < 0\\2\cdot x^{2}-3\cdot x + 10,\,\,\,\,\, 0\le x < 4\\2^{x}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, x\ge 5\end{array}[/tex]
The value of the function when [tex]x = 0[/tex] is:
[tex]h(0) = 2\cdot (0)^{3}-3\cdot (0) +10[/tex]
[tex]h(0) = 10[/tex]
The value of the function when [tex]x = 4[/tex] is undefined, since 4 is out of any of the intervals covered by [tex]h(x)[/tex].
[tex]h(4) = NaN[/tex] (Not a number)
Answer: h(0)=10
h(4)=30
Step-by-step explanation:
Use the Product Rule to find the derivative of :
a.[tex]y=(3x-1)^3(2x+5)[/tex]
b. [tex]y=(3x-2)(2x^2+3)[/tex]
Answer:
see explanation
Step-by-step explanation:
Using the product rule
Given
y = f(x)g(x) , then
[tex]\frac{dy}{dx}[/tex] = f(x).g'(x) + g(x).f'(x) ← product rule
(a)
let
f(x) = (3x - 1)³ , then using the chain rule
f'(x) = 3(3x - 1)² × [tex]\frac{d}{dx}[/tex](3x - 1) = 3(3x - 1)² × 3 = 9(3x - 1)²
let
g(x) = 2x + 5 ⇒ g'(x) = 2
Then
[tex]\frac{dy}{dx}[/tex] = (3x - 1)³ . 2 + (2x + 5) × 9(3x - 1)²
= 2(3x - 1)³ +9(3x - 1)²(2x + 5) ← factor out (3x - 1)²
= (3x - 1)²[ 2(3x - 1) + 9(2x + 5) ]
= (3x - 1)² [ 6x - 2 + 18x + 45 ]
= (3x - 1)²(24x + 43)
--------------------------------------------------------------
(b)
let
f(x) = 3x - 2 ⇒ f'(x) = 3
let
g(x) = 2x² + 3 ⇒ g'(x) = 4x
Then
[tex]\frac{dy}{dx}[/tex] = (3x - 2).4x + (2x² + 3). 3 ← distribute parenthesis
= 12x² - 8x + 6x² + 9
= 12x² - 8x + 9
Note
It is usual to simplify after differentiating the expressions
I will give you the brainlist and 5 stars if you answer this. This is for simple probability.
A refrigerator has a variety of drinks. The contents are shown below. if one drink is picked randomly, then which of the following is NOT true. This is the content:
Drinks: Quantity:
Water - 14
Cola - 28
Lemonade - 7
A. You are twice as likely to select a cola than a water.
B. You are half as likely to select a lemonade than water.
C. You are more likely to select a cola than a water or a lemonade.
D. You are twice as likely to select a water than a cola.
Answer:
d is false
Step-by-step explanation:
water = 14 and cola is 28
you are half as likely to select a water than cola
A company provides commisssion to its agent at the following rate.
-0.5% in the sale upto Rs.15 lakh
-1% in the sale from 15 lakh to Rs.25 lakh
-1.5% in the sale from Rs.25 to Rs.40 lakh
-2% in the sale above Rs.40 lakh
calculate the amount of commission that can be obtained from the following sale amount by using the above rate of commission
a.Rs.12 lakh
b.Rs.24 lakh
c.Rs.38 lakh
d.60 lakh
Answer:
A company provides commisssion to its agent at the following rate.
-0.5% in the sale upto Rs.15 lakh
-1% in the sale from 15 lakh to Rs.25 lakh
-1.5% in the sale from Rs.25 to Rs.40 lakh
-2% in the sale above Rs.40 lakh
calculate the amount of commission that can be obtained from the following sale amount by using the above rate of commission is 38 lakh
Martha estimated there were 91 marbles in a jar for a contest. The actual number of marbles in the jar was 113. What was the percent error of Martha's estimation?
A. 24.18%
B. 80.53%
C. 22%
D. 19.47%
Answer:
D. 19.47
Step-by-step explanation:
91/113 = 80.53
100.00-80.53 = 19.47
Answer:
19.47% to the nearest hundredth.
Step-by-step explanation:
Value of the error = 113 - 91 = 22.
Percent error = (22/113) * 100
= 19.47.
this is all i ask, just please give me the answer
Answer:
92
Step-by-step explanation:
161 divided by 7 is 23. so you just multiply 4 by 23. And that gets you the answer. Hope this helps:)
Answer:
x=92
Solve for x by simplifying both sides of the equation, then isolating the variable. hopes this helps have a great day <3 :)