hi,
Express the ratios in fractional form, that is
= ( cross- multiply )
y + 3 = k(y + 5) ← distribute
y + 3 = ky + 5k ( subtract ky from both sides )
y - ky + 3 = 5k ( subtract 3 from both sides )
y - ky = 5k - 3 ← factor out y from each term on the left side
y(1 - k) = 5k - 3 ← divide both sides by (1 - k)
y = 5k- 3
____
1 - k
How much would you have to deposit today to have an accumulated amount 20,000 in 20 years if yearly interest is 4.75% compounded continuously?
The principal investment required to get a total amount of $20,000.00 from compound interest at a rate of 4.75% per year compounded 12 times per year over 20 years is $7,749.34
Given dataPrincipal =?
Final amount = $20,000
rate = 4.75%
Time = 20 years
First, convert R as a percent to r as a decimal
r = R/100
r = 4.75/100
r = 0.0475 per year,
Then, solve the equation for P
P = A / (1 + r/n)^(nt)
P = 20,000.00 / (1 + 0.0475/12)^(12)(20)
P = 20,000.00 / (1 + 0.003958333)^(240)
P = $7,749.34
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20. Marissa has a $50, $20, $10, $5, and $1 bill in
her wallet. She takes the bills out and
randomly line them up. What is the
probability that the first bill is greater than
$5?
Answer: I believe it would be 60% tell if I am wrong
Step-by-step explanation:
The probability of getting first bill is greater than $5 is 1/5 or 0.2
Probability:
The probability of any event is the mathematical possibility of that event.
Probability is always lies between 0 to 1
Sure event has probability 1 while impossible event probability 0
The formula for probability is
Probability = [tex]\frac{number of favorable event}{total number of event}[/tex]
How to find probability?Here the total event is
S = {$1, $5, $10, $20, $50}
Total number of events = 5
The probability of find greater than $5 is
Probability = 1/5 = 0.2
Hence the final answer is 0.2
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Cylinder height of 8 inches with hemisphere withdiameter of 6 inches what the volume
The property taxes on a house were $600. What was the tax rate if the house was valued at $100,000? Follow the problem solving and round your answer to the nearest hundredth of a percent, if necessary.
Based on the information given the tax rate if the house was valued at $100,000 is 60%.
Let $600= x%
Let $100,000=100%
Let the tax rate=x
Proportion:
600/100,000=x/100
Hence,
x=600×100/100,000
x=60,000/100,000
x=60/100
x=0.6%×100
x=60%
Inconclusion the tax rate if the house was valued at $100,000 is 60%.
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The tax rate of a house valued at $100,000 with a property tax of $600 is 0.6%. or $6 per $1,000 of property value.
What is property tax?The property tax is the levy imposed on the assessed value of the property of an individual or corporation.
Property tax is usually levied as a percentage of the assessed value.
Data and Calculations:Property tax = $600
House value - $100,000
Tax rate = 0.6% ($600/$100,000 x 100)
Thus, the tax rate of a house valued at $100,000 with a property tax of $600 is 0.6%. or $6 per $1,000 of property value.
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A ant runs 45 inches in 15 seconds, a snail crawls 12 inches in 3 seconds. Who is faster? I need help please and thank you :)
Answer:
the snail
Step-by-step explanation:
in order to find who is faster you have to find how many inches each one does in one sec
Ant= 45/15 which is 3 inches per sec.
snail=12/3 which is 4 inches per sec.
so from the above calculations we can see that according to the question given a snail crawls faster than an ant runs
I hope this helps
1[tex]\sqrt{5}[/tex]*3[tex]\sqrt{5}[/tex]
Answer:
[tex]1\sqrt5 \times 3\sqrt 5 =(1\times3)(\sqrt5\times\sqrt5) = 3\times (\sqrt5)^2=3\times 5=15[/tex]
Help help math please I don’t understand
Answer:
45°
Step-by-step explanation:
it's a mirror angle to the known angle
round to nearest ten thousand
887,173
1/4 plus 4/9 divided by -2/3
NO MIXED NUMBERS
Answer:
The answer is -.17 and that is rounded to the nearest hundredth.
Step-by-step explanation:
Let me know if you need it!
Simplify. (5b2−3b+2)+(2b−4)
A.5b2+5b+6
B.5b2−5b−6
C.5b2−b−2
D.6b4−2
Answer:
5b2 - b -2
Step-by-step explanation:
The answer is (c)
Mr. Herman's class is selling candy for a school fundraiser. The class has a goal of raising $500 by selling c
boxes of candy. For every box they sell, they make $2.75.
Write an equation that the students could solve to figure out
how many boxes of candy they need to sell.
Answer:
500=2.75c
Step-by-step explanation:
500= 2.75c
Isolate c by dividing 2.75 on each side
500/2.75 =181.818181818 which is about 181.8
So the students need to sell about 181.8 boxes of candy in order to reach their goal of $500.
Randy jog 3 1/2 miles in 3/4 hours write a common ratio as miles to hours
Answer:
3.5: 0.75 is the aswee
Step-by-step explanation:
I just turned into improper then decimal
pls give me brainliest
28. A student suggests that she can show (-1)(-1) = 1 using the
fact that -(-1) = 1. Is her reasoning correct? If yes, what
result will she apply? If not, why not?
Answer:
not
Step-by-step explanation:
because negetive plus negative will equal negative and bot positive
if this is multiplication yes it does apply...-1×-1=1
Solve for x. 2^4x-7=16
Answer:
23/16
Step-by-step explanation:
2*4 x x-7 = 16
16x - 7 = 16
16x = 16 + 7
16x = 23
x = 23/16
Give me a rating XD <3
-57 = 16 + 5m
What does m=
Answer:
m = -14.6Step-by-step explanation:
Given Question:To find the value of mGiven Equation:-57 = 16 + 5mSolution:=> -57 = 16 + 5m
=> 16 + 5m = -57
(On subtracting -16 from both sides)=> 16 + 5m - 16 = -57 - 16
(On Simplification)=> 5m = - 73
(On dividing both sides with 5)[tex] = > \frac{5m}{5} = \frac{ - 73}{5} [/tex]
(On Simplification)=> m = -14.6
Hence, required value of m = -14.6 (Ans)
Answer:
_14.6
Step-by-step explanation:
-57 = 16 + 5m
-57 - 16 = 5m
-73 = 5m
÷5] - 14.6 = m
Nb.... M = - 14.6
Graph the function g(x) = 2x2 + 8x - 1
Answer:
(-2,-9)
(0,-1)
Step-by-step explanation:
I solved in desmos.
Pre college need help with this question
Answer:
the domain is {7,-4,1,4,}
the range is {1,-5,2,-7}
Step-by-step explanation:
What is the value of
negative 3/4 with negative 4 as a exponent
Answer:
=[tex]\frac{256}{81}[/tex]
(Decimal: 3.160494)
Step-by-step explanation:
[tex](\frac{3}{4} )^-4[/tex]
[tex](\frac{4}{3} )^4[/tex]
[tex]\frac{4^4}{3^4}[/tex]
=[tex]\frac{256}{81}[/tex]
(Decimal: 3.160494)
:)
I hope this helps
6+z=10
p-5=15
4+m=12
y-4=19
b-17=12
3=d+2
Please Show your Work
Answer:
z=4 p=20 m=8 y=23 b=29 d=1
Step-by-step explanation:
You do the reverse to find out what the variable(hidden #) is
z because 10-6=4
p because 15+5=20
m because 12-4=8
y because 19+4=23
b because 12+17=29
d because 3-2=1
If this is wrong I'm sorry.
I need help this is easy tho!
Answer:
it is true
it's a quadralateral
Seven less than twice a number is 43. What is the number?
Answer:
25
Step-by-step explanation:
x = the number
2x - 7 = 43
+7 +7
-----------------
2x = 50
------------
2 2
x = 25
If the measure of angle 1 is 45°, what is the measure of angle 11 in degrees.
Set A = 3, 4, 7
Set B = 4, 8, 9
What is the union of sets A and B?
Answer:
Step-by-step explanation:
A∩B = 4
Which of the following statements are true? Select all that apply.
A. ∠3 ≅ ∠2 because they are alternate interior angles.
B. m∠1 + m∠3 = 180° because they form a straight angle.
C. ∠3 ≅ ∠6 because they are alternate interior angles.
D. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.
The true statement are
2. <1 + <3 = 180 because form a straight angle.
3. ∠3 ≅ ∠6 because they are alternate interior angles.
4. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.
What are parallel lines?
Two lines in a plane are said to be parallel if they do not intersect when extended infinitely in both directions.
Two lines cut by a transversal line are parallel if the corresponding angles so formed are equal. In general, the corresponding angles are in relative positions and lie along the same side of the transversal.Two lines cut by a transversal line are parallel if the alternate interior angles so formed are equal. In general, the pairs of the alternate interior are found in the inner side but lie on the opposite sides of the transversal.Two lines cut by a transversal line are parallel if the alternate exterior angles so formed are equal. In general, the pairs of alternate exterior angles are found on the outer side but lie opposite each other.As, from the figure
1. <3 = <2 because of vertically opposite angle.
Hence, it is false
2. <1 + <3 = 180 because form a straight angle.
Hence, it is true.
3. ∠3 ≅ ∠6 because they are alternate interior angles.
Hence, it is true.
4. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.
Hence, it is true.
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What type of angle of this?
Answer:
angle x is equal to 60º so its an acute angle
Step-by-step explanation:
Answer:
x = 60
Step-by-step explanation:
obtuse angle is 180 degres so you subtract the amount that you see and you will get x. This only works for questions like this contact me if you need more help with questions like these
180-120=60
divide,write in simplest form 6 1/2 divided by 3/4
Answer:
Step-by-step explanation:
Answer:
8 2/3
Step-by-step explanation:
6 1/2 / 3/4
Improper fractions:
[tex]\frac{13}{2} /\frac{3}{4}[/tex]
Reciprocal:
[tex]\frac{13}{2}*\frac{4}{3}[/tex]
Simplify:
[tex]\frac{13}{1}*\frac{2}{3}[/tex]
Solve:
[tex]\frac{26}{3}=8\frac{2}{3}[/tex]
The quotient of 2 numbers, p and q
Answer:
2p/q
2q/p
q/p=2
p/q =2
Step-by-step explanation:
Here are some possible answers. The way your statement is formated in does not ask a question nor does it provide enough information for one to deduce what the question was.
Recall the method that the video showed to solve Gavin’s word problem. The video showed how we can use numerical expressions (with the help of a diagram) to arrive at a solution.
Compare the expression method from the video with the equation method that uses the variable b. Do both methods use the same sequence of operations?
Answer:
There are three ways to solve systems of linear equations in two variables: graphing. substitution method. elimination method.
Step-by-step explanation: hope this helps :)
Victoria wants to purchase a skateboard. She has $125 to spend. She finds one that regularly sells for $140 and is on sale for 15% off. Sales tax is 7%.
Victoria says that she has enough money to buy the skateboard. Is she correct?
Astudent built a scale model of his house using a scale in which 3 inches represents 15 feet.The height of his real house is 45 feet.What is the height of the scale model in inches?
NEED HELP ASAP
Answer:
9 inches
Step-by-step explanation: