Answer:
A=6143.54( to the nearest dollar A=6144)
Step-by-step explanation:
A=Pe^(r(t))
P=3100 r=0.036 t=19
A=3100e^0.036(19)
A=3100e^(0.684)
There will be $6070 money in the account of Juan after 19 years.
What is Compound Interest?It is the interest on a loan or deposit calculated based on both the initial principal and accumulated interest from previous periods. It is calculated as:
[tex]Amount=P(1+\frac{r}{n} )^{nt}[/tex]
where,
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of periods elapsed
We have
principal, P= $3100
Rate, r = 3.6%=[tex]\frac{3.6}{100}[/tex]
time, t = 19years
number of times interest compounded per year, n=1
Formula Used:
[tex]Amount=P(1+\frac{r}{n} )^{nt}[/tex]
Substitute the values in the above formula
[tex]Amount=3100(1+\frac{3.6}{100} )^{19}[/tex]
[tex]Amount=[/tex]$6070
Hence, there will be $6070 in account after 19 years.
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Find the slope of the line that passes through (9,10) and (6,8)
Answer:
2/3x+4
Step-by-step explanation:
Answer:
m=2/3
Step-by-step explanation:
y1-y2= 10-8=2
x1-x2=9-6=3
Solve -7w + 6 = -4w2 using the Quadratic Formula.
W =
and w=
Answer:
w=7±i√47
-----------
8
Step-by-step explanation:
The order pair (0 , 0) is a solution to the inequality x > -2 True True False
Answer: true
Step-by-step explanation:
Answer:
True, because when x is zero (which is greater than -2), y is 0 Which is also true.
evaluate the piece wise function
Answer:
i think [tex]g(12)=\frac{5.12}{6}=10[/tex] because if t = 12, t will not satisfy the first and last equation (in the first equation, t<6 and in the last equation t> 12)
so t = 12 only satisfy the second equaton with 6≤t≤12
Step-by-step explanation:
Two sides of an obtuse triangle measure 9 inches and 14 inches. The length of longest side is unknown. What is the smallest possible whole-number length of the unknown side? 16 inches 17 inches 24 inches 25 inches
Answer:
17 inches
Step-by-step explanation:
An obtuse triangle is the triangle in which one of the side is the longest. It contains an obtuse angle and the longest side is the side that is opposite to the vertex of the obtuse angle.
Let the three sides of the obtuse triangle be a, b and c respectively with c as the longest side. Let a = 9 inches and b = 14 inches.
Now we know that for an obtuse triangle,
[tex]$c^2 > a^2 +b^2$[/tex]
[tex]$c^2 > (9)^2 +(14)^2$[/tex]
[tex]$c^2 > 81 +196$[/tex]
[tex]$c^2 > 277$[/tex]
c > 16.64
Therefore the smallest possible whole number is 17 inches.
It should be noted that the length of the unknown side will be 17 inches.
From the information given, we are informed that the sides of an obtuse triangle measure 9 inches and 14 inches.
Therefore, the third side will be:
c² = 9² + 14²
c² = 81 + 196
c² = 277
c = ✓277
c = 16.64
c = 17
In conclusion, the correct option is 17 inches.
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Simplify.
3
(-4a64)
Write your answer without parentheses.
Answer:
64w2.
Step-by-step explanation:
Simplify y^3*y^-5 write your answer using only positive exponents
Answer:
y2
Step-by-step explanation:
"y3" was replaced by "y^3". 1 more similar replacement(s).
Simplify: y5 by y3
1.1 y5 divided by y3 = y(5 - 3) = y2
Final answer:
y2
y³y⁻⁵ can be written in the form of positive exponent is 1/y².
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is y³y⁻⁵
y power three times of y power minus five.
We need to simplify the expression using only positive exponents
From properties of exponents we have, when bases are same then the powers will be added
y³⁻⁵
y⁻²
This can be written as 1/y² as positive exponent.
Hence, y³y⁻⁵ can be written in the form of positive exponent is 1/y².
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Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Brian and Derek have summer jobs selling newspaper subscriptions door-to-door, but their compensation plans are different. Brian earns a base wage of $13 per hour, as well as $1 for every subscription that he sells. Derek gets $4 per subscription sold, in addition to a base wage of $7 per hour. If they each sell a certain number of subscriptions in an hour, they will end up earning the same amount. How much would each one earn? How many subscriptions would that be?
Brian and Derek will each earn $___ if they sell___subscriptions in an hour.
Answer: Brian & Derek will earn $25 If they sell 8 and 12.
Step-by-step explanation:
Karra is at the dollar store buying bags of chips for her sleepover party. For every 5 bags of chips she buys, she pays $6. What is the price per bag of chips? *Money always has two numbers after the decimal.
Answer:
$1.20
Step-by-step explanation:
Given that:
Price paid to buy 5 bags of chips = $6
To find:
Price per bag of chips in two digits after the decimal.
Solution:
To find the price of each bag of chips, we need to divide the price of 5 bags of chips with 5.
i.e. we need to divide $6 with 5, then we will get the price of each bag of chips.
[tex]\text{Price of each bag of chips}=\dfrac{\text{Price of 5 bags of chips}}{5}\\\Rightarrow \dfrac{\$6}{5} = \bold{\$1.2}[/tex]
Therefore, the answer is:
Price of each bag of chips is $1.2.
Find the volume of the cone.
175.9 m3
Correct Answer
167.6 m3
Incorrect Response
418.9 m3
502.7 m3
Answer:
B
Step-by-step explanation:
Part A )a painter leans a ladder up against a building. The base of the ladder is placed 7 feet from the building to reach a height of 24 feet. How long is the ladder
Part B) The painter uses the same ladder from part A, but now needs to reach a height of 19 feet.How far away does the base of the ladder need to be placed from the building?
Answer:
Part A). 25 feet
Part B). 16.25 feet
Step-by-step explanation:
Part A). By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
AC² = (24)² + 7²
AC² = 576 + 49
AC = √625
= 25 feet
Part B). By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
(25)² = (19)² + x²
625 = 361 + x²
x² = 625 - 361
x = √264
x = 16.25 feet
2000x+6000=3600-40000
Answer:
x = -21.2
Step-by-step explanation:
2000x + 6000 = 3600 - 40000
2000x = -36400 - 6000
x = -42400 / 2000
x = -21.2
Hope this helped!
Answer:
x = − 106/5Step-by-step explanation:
How to solve your question
Your question is
2000x+6000=3600−40000
Subtract the numbers
2000x+6000=3600−40000
2000x+6000=−36400
Subtract
6000
60006000
from both sides of the equation
2000+6000=−36400
2000x+6000=-364002000x+6000=−36400
2000+6000−6000=−36400−6000
Divide both sides of the equation by the same term
2000=−42400
2000x=-424002000x=−42400
20002000=−424002000
\frac{2000x}{{\color{#c92786}{2000}}}=\frac{-42400}{{\color{#c92786}{2000}}}20002000x=2000−42400
5
Solution
x= −106/5
Each unit on the map represents 1 mile. To the nearest tenth of a mile, what is the distance from the
library to the supermarket?
Answer:
5.8 miles
Step-by-step explanation:
Distance of library(3, 2) to the supermarket (6, 7) using distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Where,
[tex] (3, 2) = (x_1, y_1) [/tex]
[tex] (6, 7) = (x_2, y_2) [/tex]
Plug in the values into the formula
[tex] d = \sqrt{(6 - 3)^2 + (7 - 2)^2} [/tex]
[tex] d = \sqrt{(3)^2 + (5)^2} [/tex]
[tex] d = \sqrt{9 + 25} [/tex]
[tex] d = \sqrt{34} = 5.8 miles [/tex] (nearest tenth).
Graph y=47x−2.
Use the line tool and select two points on the line.
Answer :slope is 47 y intercept is (0,-2)
Step-by-step explanation:
You buy
3.16 pounds of
pears,
1.15 pounds of
apples, and
2.18 pounds of
peaches. What is your total bill?
1.19 pears, 0.99 apples, 1.29 peaches
Answer:
if the prices at the bottom are per pound, then:
pears = 3.7604 (3.76)
apples = 1.1385 (1.13)
peaches = 2.8122 (2.81)
total bill = 7.07
Step-by-step explanation:
pears =
1.19 x 3.16 = 3.7604 (3.76)
apples =
0.99 x 1.15 = 1.1385 (1.13)
peaches =
1.29 x 2.18 = 2.8122 (2.81)
total bill =
3.76 + 1.13 + 2.81 = x
x = 7.7
7.7 money-wise = 7.07 (i think)
total bill = 7.07
OR
total bill =
3.7604 + 1.1385 + 2.8122 = x
x = 7.7111
----------------
7.7111 = 7.7 = 7.07
-4p+9=-5 can someone help me with P
Answer:
= 7/2
Step-by-step explanation:
−
p = 3.5
Step-by-step explanation:
....................
I asked this already, but can somebody provide an answer with an explanation?
Answer:
41 cm²Step-by-step explanation:
Area of triangles
A(ABN) = 1/2b₁hA(CDM)= 1/2b₂hArea of trapezoid
A(ABCD) = 1/2(b₁ + b₂)hSince the area of trapezoid is same as the sum of the areas of the triangles, we have:
A = 23 + 18 = 41 cm²Concepts:
Finding areaArea of figuresAnswer: 41 cm²
Triangle lengths:
A(ABN) = 1/2b₁h
A(CDM)= 1/2b₂h
Trapezoid length:
A(ABCD) = 1/2(b₁ + b₂)h
A = 23 + 18 = 41 cm²
Suppose the man in the St. Ives poem has x wives, each wife has x sacks, each sack has x cats, and each cat has x kits. Write an expression using exponents that represents the total number of kits, cats, sacks, and wives going to St. Ives.
Answer: [tex]x+x^2+x^3+x^4[/tex]
Step-by-step explanation:
As per given,
Number of wives = [tex]x[/tex]
Number of sacks = [tex]x (\text{Number of wives} )= x\times x = x^2[/tex]
Number of cats = [tex]x(\text{Number of sack})[/tex][tex]= x \times x^2=x^3[/tex]
Number of kits = [tex]x(\text{Number of cats} )=x\times x^3=x^4[/tex]
Now , the total number of kits, cats, sacks, and wives going to St. Ives = [tex]x+x^2+x^3+x^4[/tex]
Hence, the required ex[pression: [tex]x+x^2+x^3+x^4[/tex]
PLZ HELP! QUESTION IS BELOW!
Answer:
27
Step-by-step explanation:
4 touchdown passes=24
18 complete passes=34
8 incomplete passes=30
2 interceptions=27
Final answer=27
Find the solution of the system of equations.
-x+2y=-15
8x-2y=-20
Answer:
the answer is (-5,-10)
hope this helps :)
Please help me out, What is the slope?
Answer:
-1/2
Step-by-step explanation:
Hope this helps!
help plz im not smart lolz
Answer:
D or $8.00
Step-by-step explanation:
The rate of change is every hour is 8. You can tell with the plotted points go up (1,8) each time. Hope this helps.
40% of (100-20 of 300) is equal to
Answer:
-2360 is the calculated answer
Could someone help me complete this chart? It’s kinda confusing.
Answer:
1. - completed
2. expanded = a · a · a · a
3. base = a | exponent = 5 | expanded = a · a · a · a · a
4. - completed
5. base = c | exponent = 3 | expanded = c · c · c
6. base = c | exponent = 4 | expanded = c · c · c · c
7. base = m | exponent = 2 | expanded = m · m
8. base = m | exponent = 3 | expanded = m · m · m
9. power = y⁵ | base = y | exponent = 5
10. power = y⁸ | expanded = y · y · y · y · y · y · y · y
hope this helps ! brainliest ?
There are 80 seats on a train. 76 of the seats are empty. What percentage of the seats on the train are empty?
Answer:
95%
Step-by-step explanation:
Answer:
95%
Step-by-step explanation:
Multiply both 80 and 76 by 100, to get 800 and 760. Then divied both by 8 to get 100 and 95. 95 is 95% of 100, and so 76 is 95% of 80. Hope this helps!
Kelly had a Hershey chocolate bar. She broke the bar into 5 pieces. Her friend Grace
ate 2/5 of the bar, Her friend Kayla ate 1/5 of the same bar. How much of the bar was
left for Kelly to eat?
Answer:
2/5 is left
Step-by-step explanation:
A school had 1,200 students last year and only 984 students this year. What was the percentage decrease in the number of students?
Answer:
46%
Step-by-step explanation:
Please help me I don’t understand this and I really need to get my grade up.
Answer:F=7
Step-by-step explanation:
Evaluate the expression when y = 3 and z = -1/5.
1/2z - 2/3y = ?
Thanks, if you help!
(7th grade ‘algebra’)
Answer:
-9/10
Step-by-step explanation:
Plug In: y = 3 z = -1/5
1/2z - 2/3y
Multiply:
1/2(-1/5) - 2/3(3)
Solve:
-1/10 - 2 = -.1 - 2 = -.9 = -9/10
Convert 50°F to Celsius.
_____°C
Answer:
10°C
Step-by-step explanation:
(50°F − 32) × 5/9 = 10°C
Answer:
10 degrees Celsius
Step-by-step explanation: