Answer:
The 2D Pythagorean theorem can be applied twice to calculate the longest diagonal inside a rectangular prism.
Step-by-step explanation:
Robert invested $7,600 in an account paying an interest rate of 1.9% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $8,600?
Answer:
the answer is 7
Step-by-step explanation:
Compounded Continuously:
A=Pe^rt
A=8600
P=7600
r=0.019
8600=7600e^0.019t
[tex]\frac{x}{y} 8600\\ 7600[/tex] =[tex]\frac{x}{y} 7600e^0.019t\\7600[/tex]
1.1315789=e^0.019t
In(1.1315789)=e^0.019t
ln(1.1315789)=
\,\,0.019t
0.019t
6.5059977=t
t=7
thxxxx byee
The dollar value of a car is a function, f, of the number of years, t, since the car was purchased. The function is defined by the equation f(t)=12,000(3/4)^t.
A. How much was the car worth when it was purchased? Explain how you know.
B. What is f(2)? What does this tell you about the car?
C. About when was the car worth $6,000? Explain how you know.
Answer:
1.) 12000
2.) 6750
3.) 2.41
Step-by-step explanation:
Given the Equation :
f(t)=12,000(3/4)^t. ; where, t = time ; f(t) = worth of car at time, t
When, car was purchased, t = 0
t = 0
f(0) = 12000(3/4)^0
= 12000 * 1
= 12000
2.)
f(2) ; this mean the worth of the car after 2 years :
f(2)=12,000(3/4)^t.
12000(3/4)^2
12000 * 0.5625
= 6750
When car will be worth 6000
f(t) = 6000
f(t)=12,000(3/4)^t.
6000 = 12,000(3/4)^t
6000 / 12000 = (3/4)^t
1/2 = (3/4)^t
Take the log of both sides :
Log(0.5) = log(0.75)^t
log(0.5) = tlog(0.75)
- 0.301029 = - 0.124938t
t = - 0.301029 / - 0.124938
t = 2.4094
t = 2.41 years
Jacob is traveling to North Carolina for vacation. He travels a total of 456 miles in 8 hours, what is his average speed?
Answer:
57 miles per hour
Step-by-step explanation:
Find his average speed by dividing the total of miles he traveled by the number of hours:
456/8
= 57
So, this means he traveled 57 miles in one hour.
His average speed was 57 miles per hour
Based on equation of the line of best fit how much money should Millie expect to earn if he works a five hour shift?
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]x = 5[/tex] ---- 5-hour shift
Required
The expected earnings
The question is incomplete, as the equation is not given. A general way to solve this, is to substitute the value of x in the equation, then solve for the y variable.
Take for instance, the equation is:
[tex]y = 10x + 2[/tex]
The expected earnings will be:
[tex]y = 10*5 + 2[/tex]
[tex]y = 50 + 2[/tex]
[tex]y = 52[/tex]
Expected Earnings = $52
Is 1/4 squared a rational?
Answer:
It is a rational.
Step-by-step explanation:
0.25² = 0.0625
It is a rational.
Help Please I really Need it on a Timer
Answer:
its A
Step-by-step explanation:
Please help me with full calculations
Answer:
use formula,
P(x,y)=P'(-y,x)
so.
R(-2,-2)=R'=(2,-2)
S(1,1)=S'(-1,1)
T(-1,-3)=T'(3,-1)
Step-by-step explanation:
plot R,S,T and R',S',T' in the graph
You put $400 in a savings account. The account earns 7% simple interest per year.
a. What is the interest earned after 10 years?
b. What is the balance after 10 years?
Answer:
786.86 would have been earned after ten years.
After ten years the balance would be 1186.86
Step-by-step explanation:
First I put the numbers into the equation 400l(1+.07/1)^10 and solved it to get 786.86 then added that to the original amount getting the second part of the answer :)
help me plzz please please please
Answer:
Q1: 18 degrees
Q2: 60 sides
Step-by-step explanation:
The sum of the exterior angles is always 360 degrees. With this, do 360/20 to get the amount of sides that are within the shape.
360/20 --> 18 degrees.
Now with the interior angles, it can be found with the equation ((n-2) * 180 degrees) / n = Angle Given. With this, plug 174 degres into your equation.
(n-2) * 180 degrees) / n = Angle Given
(n-2) * 180 degrees) / n = 174
180n -360 / n = 174
180n -360 / 174n
360 = 6n
n = 60
It would be 60 sides.
Please a correct answer gets brain thing that I forgot it name please help
Answer:
;FIHI;IHFHGILSOUDHFUHZSIUDGNJKZNSFJGNOSHTJOIJOIGJOSKFNGKNSJKGNONOJGOKJN
Step-by-step explanation:
Question 5 (1 point)
Calculate the area of this composite shape. Use the ti key on the calculator. Round answer
to tenths.
10 yd
12 yd
13 yd
13 yd
Area =
yd2
Jessica thinks that she might have made a mistake on her tax return and paid more tax than she needed to. Complete the statements describing what Jessica can do.
Jessica can hire
to check her tax return. If a mistake is found, Jessica can file Form
to have the IRS correct the mistake and refund any excess taxes she paid.
Answer:
A certified accountant and can file 1040X
Step-by-step explanation:
95 - 3/4 what is the value of the expression
Answer:377 /4 = 94 and 1 / 4 =94.25
Step-by-step explanation:
Subtract
95 − 3 /4
= 377 / 4
Convert integer to fraction
95 = 95 / 1
Find common denominator
95 over 1
− 3 over 4
= ( 95 × 4 ) over ( 1 × 4 )
− ( 3 × 1 ) over ( 4 × 1 )
= 380 over 4
− 3 over 4
4 is the least common multiple of denominators 1 and 4. Use it to convert to equivalent fractions with this common denominator.
Subtract
380 over 4
− 3 / 4
= ( 380 − 3 ) / 4
= 377 /4
Simplify
377 / 4
= 94 and 1 /494
Reduce fraction to lowest terms
1 is the greatest common divisor of 377 and 4. The result can't be further reduced.
Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
377 /4
= 94 1 /4
377 ÷ 4 = 94 remainder 1
By writing the whole number as a fraction, we will see that the solution is 377/4
How to solve the expression?
Here we want to take the difference between a whole number and a fraction:
95 - 3/4
To do this, we need to write the whole number as a fraction, to do it, we multiply and divide it by 4:
95 = (4/4)*95 = 380/4
Now we rewrite our expression as:
95 - 3/4 = 380/4 - 3/4 = 377/4
This is the solution of the expression.
If you want to learn more about fractions, you can read:
https://brainly.com/question/11562149
what is the equation of this line
a. y = -3/2x+9
b. y = -2/3x+18
c. y = 2/3x+6
d. y = 3/2x+6
Answer:
A. y = -3/2x + 9
Step-by-step explanation:
In slope intercept form (y = mx + b), b represents the y-intercept. Therefore, simply look on the graph where the line intersects with the y-axis. In this case, that is all that was needed since we can clearly see that equation A is the only one with a y-intercept of 9.
Answer:
a
Step-by-step explanation:
any two points on the line are
(0,9 ) and (4,3)
slope=(3-9)/(4-0)=-6/4=-3/2
y intercept is 9
so eq. of line is y=-3/2x+9
I Need help ASAP it is due today 5/26/21
Answer:
Step-by-step explanation:
[tex]9*8=72\\0.5*6*8=24\\10*9=90\\72+24+90=186 m^{2}[/tex]
someone, please help !! these are direct and inverse variations, algebra 2. i need them asap !
Answer:
3, 20, 2, and 2.5
Step-by-step explanation:
For each question, they gave you an x and y value. If you substitute them into the equation and then solve for k, you get your answer.
On the first one, x is 12 and y is 1/4. If you put those into the equation they gave you y = k/x, you get 1/4 = k/12
3/12 is 1/4 so the first k is 3.
Second one y = k/x. x is 4 and is 5. So 5 = k/4
20/4 is 5, so the second k is 20.
solve in simplest form
15 3/5 - 3 2/7
Answer:
12 11/35
Step-by-step explanation:
Given Data
First term= 15 3/5
To simple fracrion= 78/5
Second term= 3 2/7
To simple fracrion= 23/7
Hence the operation goes thus
= 78/5- 23/7
LCM = 35
=546-115/35
=431/35
=12 11/35
Answer:
[tex] 12 \frac{11}{35} = \frac{431}{35} [/tex]
Step-by-step explanation:
[tex]15 \frac{3}{5} - 3 \frac{2}{7} \\ (15 - 3) + ( \frac{3}{5} - \frac{2}{7} ) \\ 12 + ( \frac{3}{5} - \frac{2}{7} ) \\ 12 + \frac{11}{35} [/tex]
[tex] \boxed{Answer:{\boxed{\green{= 12 \frac{11}{35} = \frac{431}{35}}}}} [/tex]
Please help me with this. And my teacher said to show your work so what do I have to do and she said on paper please help thank you!
Answer:
Step-by-step explanation:
V=H x W x L so 11.25= H (1.5) (2); 3H=11.25 so the height of one box is 3.75’
To find the volume of 5 stacked boxes multiply the volume of one box by 5.
5(3.75 x 1.5 x 2) which is 20.25 cubic feet.
GIVING AWAY 20 POINTS!!
HURRY PLEASE!!
QUESTION:
What is mBDG?
Answer:
242
Step-by-step explanation:
Circles have a total of 360°
mDBG does not include mBA or mGA
This means that mDBG = 360 - ( mBA + mGA )
mBA = 28° ( this is given )
mGA = 90° ( this is also given; it's indicated by the right angle )
Thus, mDBG = 360 - ( 28 + 90 )
28 + 90 = 118
mDBG = 360 - 118
360 - 118 = 242
Hence, mDBG = 242
carpet cost $27 per square
yard. Use two unit multipliers to
find the cost per square foot
Answer:
5 dollars per foot
Step-by-step explanation:
Parallelogram with a measure of 74 find the value of X
Answer:
x = 74
Step-by-step explanation:
One of the properties of a parallelogram is that opposite angles are congruent. This means that the angle with a measure of (74) degrees and (x) degrees are the same, thus the following conclusion can be drawn,
x = 74
X+2y=0
12y= -6x
Plzzz this is due 11:59
Answer:1. X+2y=0 answer:−2y 2. 12y= -6x answer:x=−2y
Step-by-step explanation:
Please help me on this :) I will give brainleast
Answer:
B. 6 cans for 5.16
Step-by-step explanation:
A. 0.89$ for 1 can
B. 0.86$ for 1 can
C. 0.88$ for 1 can
D. 0.90$ for 1 can
Answer:
b
Step-by-step explanation:
store a - 0.89 each can
store b - 0.86 each can
store c - 0.88 each can
store d - 0.90 each can
-8 + 9 · 2 ÷ -3. please explain it to me step by step.
Answer:
-14
Step-by-step explanation:
Type it in a calculator
Answer:
-14
Step-by-step explanation:
positive 9 × 2 = 18 ÷ 3 = -6
negative 6 + negative 8 = - 14
a negative plus a negative always equals a negative
Hope this helps or if you don't understand you can use photo math <3
A cooking school is teaching students how to make pasta noodles. The line plot displays how much flour each student used. How many total cups of flour did the students use to make the pasta?
Answer:
[tex]Total = 11\frac{1}{8}\ cups[/tex]
Step-by-step explanation:
Given
See attachment for plot
Required
Total number of cups used
The number of dot on each dataset represent the number of student
So, to get the total number of cups, we simply add the product of the number of cups and the number of student for each data item
So, we have:
[tex]Total = \frac{1}{8} * 6 + \frac{1}{4} * 5 + \frac{3}{8} * 2 + \frac{1}{2}*0 + \frac{5}{8} * 4 + \frac{3}{4} * 2 + \frac{7}{8} * 5[/tex]
[tex]Total = \frac{6}{8} + \frac{5}{4} + \frac{6}{8} + 0+ \frac{20}{8} + \frac{6}{4} + \frac{35}{8}[/tex]
Solve
[tex]Total = \frac{6+10+6+0+20+12+35}{8}[/tex]
[tex]Total = \frac{89}{8}[/tex]
[tex]Total = 11\frac{1}{8}\ cups[/tex]
What are the possible measures of the triangles side? Select all that apply
Answer:
I believe the answer would be A and C
Step-by-step explanation:
Answer:
a,c and e
Step-by-step explanation:
Answer and explanation
Answer: c
Step-by-step explanation: because you add the x's and then add the fractions
A phone case, which originally
costs $14.50, is on sale for 32% off.
What is the cost of the phone case
after the discount? ?
NO LINKS The circumference of a circle is 36 feet. What is the length of the radius of this circler
O 9 ft
18 ft
36 ft
O 72 ft
Thank you so much for your help! :)
Answer:
18ft
Step-by-step explanation:
Formula of circumference * r x r x 3.14* or d x 3.14*
:DDD And ye glad I could help!
An investment of $100 is now valued at $149.18 the interest rate is 8% compounded continuously about how long has the money been invested
question: An investment of $100 is now valued at $149.18 the interest rate is 8% per year, compounded continuously about how long has the money been invested
Answer:
5.2 years
Step-by-step explanation:
Applying
A = P(1+R/100)ⁿ.......................... Equation 1
Where A = amount, P = principle, R = rate, n = time.
From the question,
Given: A = $149.18, P = $100, R = 8%
Substitute these values into equation 1 and solve for n
149.18 = 100(1+8/100)ⁿ
149.18/100 = (1+8/100)ⁿ
1.4918 = (1+0.08)ⁿ
1.4918 = (1.08)ⁿ
Taking the Logarithm of both side
Log(1.4918) = Log(1.08)ⁿ
Log(1.4918) = nLog(1.08)
n = Log(1.4918)/Log(1.08)
n = 0.1737/0.0334
n = 5.2 years.