Answer:
$7462 to the nearest dollar.
Step-by-step explanation:
10000 = P(1 + 0.05)^6 where P is the initial investment.
10000 = P * 1.05^6
Taking logs:
log 10000 = log P + 6 log 1.05
log P = log 10000 - 6 log 1.05
log P = 4 - 0.127136 = 3.872864
P = 7462
A dishwasher is priced at $685. There is an 8% sales tax rate. What is the sales tax of the dishwasher in dollars and cents?
Answer:
The tax would be $54.80 !
Step-by-step explanation:
To do the problem you have to cross multiply and divide.
[tex]\frac{x}{685} = \frac{8}{100}[/tex]
685 x 8 = 5480
5480 / 100 = 54.8
three numbers have a sum of 112. The first number is twice the second, and the third number is twice the first. What is the smallest of the three numbers?
Answer:
The second number is the smallest of the three numbers with
value n = 16.
Step-by-step explanation:
Let n represent the second number, then the first number is 2n and the third number is 4n.
so
[tex]n+2n+4n=112[/tex]
Solving for n
[tex]n+2n+4n=112[/tex]
[tex]7n=112[/tex]
[tex]\frac{7n}{7}=\frac{112}{7}[/tex]
[tex]n=16[/tex]
As n = 16 is the second number.
The first number = 2n = 2(16) = 32
The third number = 4n = 4(16) = 64
Therefore, the second number is the smallest of the three numbers with value n = 16.
What is the Greatest Common Factor of 48r^2-52r ?
Step-by-step explanation:
4r is the greatest common factor
Which of the following numbers can be expressed as repeating decimals? (5 points)
3 over 7 , 2 over 5 , 3 over 4 , 2 over 9 How can 38 over 6 be expressed as a decimal?
9514 1404 393
Answer:
Repeating decimals:
3/72/938/6 = 6.3_3 (repeating 3)
Step-by-step explanation:
[tex]\dfrac{3}{7}=0.\overline{428571} \quad\text{repea}\text{ting decimal}\\\\\dfrac{2}{5}=0.4\\\\\dfrac{3}{4}=0.75\\\\\dfrac{2}{9}=0.\overline{2}\quad\text{repea}\text{ting decimal}[/tex]
The improper fraction 38/6 = 19/3 = 6 1/3. As a decimal, this is ...
[tex]\dfrac{19}{3}=6.\overline{3}\quad\text{repea}\text{ting decimal}[/tex]
_____
The repeating part of a decimal fraction is conventionally written with an overbar, as shown in the typeset content above. In plain text, it is sometimes written with an underscore preceding the repeating digits.
the equation y + 1 = 5(x + 6) equivalent to
Step-by-step explanation:
y + 1 = 5(x + 6)
y + 1 = 5x +30
y = 5x +30 -1
y = 5x + 29
Help!!! Is 2.33 the right answer? If not please say the correct answer and explain, I will mark you brainlist after. Also have a great rest of your day everyone!!!!!!
Answer:
The answer is 21.
Step-by-step explanation:
If the board was 7 feet long and each piece was cut into 1/3 of a foot, that means that there are actually 21 pieces
I put a picture if it helps...
A polynomial function is represented by the data in the table.
x = -5, -4, -3, -2, -1
f(x) = -15, -6, 1, 6, 9
Choose the function represented by the data.
f(x) = 6x + 15
f(x) = −6x − 45
f(x) = x2 − 40
f(x) = −x2 + 10
Answer:
Step-by-step explanation:
F(x)=6x+15
f(x)=6(-15)+15
f(x)=-75
Answer:
D f(x)=-x2+10
Step-by-step explanation:
did on edge
(3+3x)+(2x-8) whats the answer?
Answer:
5x-5 is the answer.
Step-by-step explanation:
Answer:
5x-5
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
Answer:
14
Step-by-step explanation:
(9x + 10)° = 136°
9x + 10 = 136
9x = 126
x = 14
-14 7/8 ÷ 1 3/4 ÷ -1/2
Answer:
4.25
Step-by-step explanation:
Answer:
The answer is 17.
Step-by-step explanation:
-14 7/8 divided by 1 3/4 is -8 1/2. -8 1/2 divided by - 1/2 is 17.
⚠️please help done today⚠️
(03.01)
Which of the sums below can be expressed as 6(3 + 9)? (3 points)
O 18 + 54
O 18 + 9
O 9 + 15
O 6+54
Answer:
It would be the first answer choice, 18+54
Step-by-step explanation:
6(3+9
6x3=18
6x9=54
18+54 would be the equation.
Please pick me for brainliest
Answer:
a
Step-by-step explanation:
Which set of numbers is included as part of the solution set of the compound inequality
x < 6 or x > 10?
{–7, –1.7, 6.1, 10}
{–3, 4.5, 13.6, 19}
{0, 6, 9.8, 14}
{8.5, 9.1}
Answer:B
Step-by-step explanation:
On Edg
Answer: B on edg
Step-by-step explanation:
Rewrite the sum of 12 and 8 as a product of the LCM of the two numbers and another sum.
Answer:
2 or 4
Step-by-step explanation:
Explain what each variable in the linear equation y=mx+b represents.
y represents _________________
m represents ________________
x represents _________________
b represents _________________
Answer:
y = dependent variable
m = slope of a line
x = independent variable
b = y-intercept
an express plane is travelling at 50 km/h. How far does it go in 1 day?.
Answer:
1200km/h
Step-by-step explanation:
in one hour it covers 50km
therefore because a day has 24hrs
we multiply
=50x24
=1200km/h
a washer and dryer cost $657 combined. The washer costs $43 less than the dryer. What's the cost of the dryer?
Answer:
The answer is $614
w + d = 657
657 divided by 2 is 328.5
328.5 - 43 285.5 (that would be washer)
Answer: 657 - 285.5 = 371.5
that should be right!(:
What is the slope of 5y = 160 + 9x?
Please show your work
Answer
M=9/5
Step-by-step explanation:
{Slope-Intercept form of}\:5y=160+9x:\quad y=\frac{9}{5}x+32
Sorry if I write confusing
9/5x+32
{Axis\:interception\:points\:of}\:\frac{9}{5}x+32:{X\:Intercepts}:\:\left(-\frac{160}{9},\:0\right),\:\ {Y\:Intercepts}:\:\left(0,\:32\right)
=
5x-160/9=+ the:\equation:\before=
9/5x+32= .
m=9/5
If x = 3 which number line shows the value of |x|
Answer:
3rd one
Step-by-step explanation:
absolute value and distance are always positive
Answer: C (or) 3rd one
plus I got took test got it right
Step-by-step explanation:
absolute value and distance are always positive
In right triangle GHI, ∠H is a right angle, m∠I=42∘, and GH=11.
sin42∘≈0.67
cos42∘≈0.74
tan42∘≈0.90
What is the measurement of HI?
If necessary, round your answer to two decimal places, like this: 42.53
Answer:
12.22
Step-by-step explanation:
θ = 42°
We solve using Tangent rule of trigonometry.
tan θ = Opposite/Adjacent
GH = Opposite = 11
HI = Adjacent = ?
From the question
tan42∘≈0.90
Hence:
0.90 = 11/HI
HI = 11/0.90
HI = 12.222222222
Approximately = 12.22
Solve each multi-step linear equation
12-6x=-8x+7+7x
Answer:
1
Step-by-step explanation:
12-6x=-8x+7+7x
-6x+8x-7x=7-12
-5x=-5
X=5/5
X=1
So the value of X is 1
Rachel is sitting in a tree 15 feet above the ground. A minute ago, she spotted a skunk 40 feet from the base of the tree walking closer to her. Now, the skunk is 20 feet from the base of the tree. The diagonal line from Rachel to the skunk is the distance between them. How much closer is the skunk to Rachel now than it was a minute ago?
Given :
Rachel is sitting in a tree 15 feet above the ground.
A minute ago, she spotted a skunk 40 feet from the base of the tree walking closer to her. Now, the skunk is 20 feet from the base of the tree.
The diagonal line from Rachel to the skunk is the distance between them.
To Find :
How much closer is the skunk to Rachel now than it was a minute ago.
Solution :
Initial distance,
[tex]d_i=\sqrt{15^2+40^2}\\\\d_i=42.72\ feet[/tex]
Final distance,
[tex]d_f=\sqrt{15^2+20^2}\\\\d_f=25\ feet[/tex]
Therefore, skunk is ( 42.72 - 25 ) = 17.72 feet closer to Rachel now than it was a minute ago.
Hence, this is the required solution.
−16−9 please help me
Answer: -25
Step-by-step explanation:
Which value of n is a solution for both inequalities below?
2(n +5) > 4 and 3(n-1) <3
A -7
B -3
C 2
D 4
ENone of the above
Answer:
the answer for the question is c 2
Which function has a range of {y|y ≤ 5}?
f(x) = (x – 4)2 + 5
f(x) = –(x – 4)2 + 5
f(x) = (x – 5)2 + 4
f(x) = –(x – 5)2 + 4
SOMEONE HELP! I know the answer I just need to show the work.
What is the measure of
angle b?
Answer: 36
okay so
117° + angle a = 180° (supplementary angle)
angle a = 180 - 117
= 63°
then angle a + angle b + 81° = 180° ( angle sum property)
so... 63° + angle b + 81° = 180
144 + angle b = 180°
angle b = 180 - 144
= 36°
hope this helps.
A bag contains 42 cups of dog food. Your dog eats 2 1/3 cups of dog food 1 point
each day. How many days will the dog food last if you feed him the same
amount each day?
O 126 Days
O 98 Days
O 21 Days
O 18 Days
Answer:
It will last 18 days.
Step-by-step explanation:
Answer:
its 18 days
Step-by-step explanation:
what i did was divide 42 divided by 2
then i added 21 1/3 and got 18
I'll mark you the brainiest if you get this right
thx x
Answer: 169
Step-by-step explanation:
52 divided by 4 is 13 so 13 times 13 is 169
Answer:
The answer is 169cm2
Step-by-step explanation:
Divide 52 by 4 to get the sides
One side is 13
Then, multiply 13 by itself to get the area
The area is 169cm2
Write the equation of the line parallel to 3x - 4y = 18 that goes through
the point (8,-3)
Answer:
y=3/4x-9
Step-by-step explanation:
How many solutions this equation?
3x+2y=6
9x+6y=18
Answer:
1
Step-by-step explanation:
f(-5)= ? Anybody know it's from khan academy