Answer:
Answer is A! 38 degrees
Step-by-step explanation:
opposite side is the same
Jack has $500 in a bank account that will earn 3% interest every year. Diane has $100 in an investment account that will earn 12% every year. How many years will it take for Diane's account balance to overtake Jack’s?
Answer:
20 years
Step-by-step explanation:
A=500(1+.03)^20
$903
A=100(1+.12)^20
$964
It took her 20 years to overtake.
Answer:
Simple interest = NeverCompound interest = 19 years and 4 monthsStep-by-step explanation:
Jack
Initial amount = $500Interest rate = 3% = 0.03Yearly interest = 0.03*500 = $15
Diane
Initial amount = $100Interest rate = 12% = 0.12Yearly interest = 0.12*100 = $12
Diane's initial amount and yearly interest amount are both less than of Jack's.
It means her balance will never overtake Jack's.
=======================
It is not mentioned in the question but let's assume it is compound interest which is annually compounded.
Then after x years their balance will be:
Jack
500(1 + 0.03)^x = 500*1.03^xDiane
100(1 + 0.12)^x = 100*1.12^xSolve inequality below:
100*1.12^x ≥ 500*1.03^x(1.12/1.03)^x ≥ 51.087^x ≥ 5x log 1.087 ≥ log 5x ≥ log 5 / log 1.087x ≥ 19.29 years = 19 years and 4 monthsSolve for the given time.
A colony of 36,000 bacteria grows continuously at a rate of 12%. How many bacteria will there be in 2 years?
Answer:
45158
Step-by-step explanation:
Since the colony grows at a rate of 12%, after 2 years there will be [tex]36000\cdot 1.12^2 = 45158.4[/tex] bacteria. Since you probably can't have part of a bacteria, you round to 45158.
Answer:
45158
Step-by-step explanation:
Since the colony grows at a rate of 12°/• , after 2 years there will be 36000.
1.12 power of 2 = 45158.4 bacteria.
And you cant have part of a bacteria
you round it to
45158.
Help me please and thank you
Answer:
history is the correct answer
subtract 9 from 16 as an expression pls help
Answer:
16 - 9 = x
i thonk :0
or 16 - 9 = 7
Step-by-step explanation:
Someone help and plz make sure the answer is correct plz :)
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (16, 17) and (x₂, y₂ ) = (15, 16)
m = [tex]\frac{16-17}{15-16}[/tex] = [tex]\frac{-1}{-1}[/tex] = 1
17) HELP I have the answer I just need to show the work
Which trig ratio or formula should you use to find “c”?
Answer: B
Don’t give me the answer I already know it just show the work pls
Here
cos25°=BC/AB=8/c
c=8/cos25°
so cos function is helpful here
really a dum.beannie
Answer:
b) cos25
c = 7.248 or 7.2
Step-by-step explanation:
Cosine = [tex]\frac{adjacent}{hypothenuse}[/tex]
Cos 25 = [tex]\frac{8}{c}[/tex]
Cos of 25 is 0.906
0.906 = [tex]\frac{8}{c}[/tex]
Multiply 8 on both sides:
0.906 x 8 = [tex]\frac{8}{c}[/tex] x 8
7.248 = c
Find the length of a side of a square if its area is:
0.49 square units
Answer:
Side = 0.7 units
Step-by-step explanation:
Area of a square = 0.49 sq. units
Side² = 0.49
side² = [tex]\frac{49}{100}\\\\[/tex]
[tex]side = \sqrt{\frac{49}{100}}=\sqrt{\frac{7*7}{10*10}}\\\\sides=\frac{7}{10}=0.7[/tex]
the population of alaska is approximately 6.5 * 10^(5) people the populatio of illinois's is about 1.3 * 10^(7)people. how many times greater is the population of Illinois in the population of Alaska
Answer:
20 times greater
Step-by-step explanation:
Given the following
Population of alaska = 6.5 * 10^(5) people
Population of illinois's = 1.3 * 10^(7)people.
To know the number of times population of Illinois in the population of Alaska, we will take their population ratio;
Ratio = Population of illinois's /Population of alaska
Ratio = 1.3 * 10^(7)/6.5 * 10^(5)
Ratio = 0.2 * 10^7-5
Ratio = 0.2 * 10^2
Ratio = 20
Hence the population of Illinois is 20 times greater than population of alaska
Mary prepared sandwiches for the seminar participants. She bought 5 loaves of bread at 22.50 pesos each, 2 bottles of mayonnaise at 55.50 a bottle and 1.5 kilograms of ham at 240 pesos a kilogram. If she gave the saleslady 1 000, pesos, How much change did she receive?
1. What is asked?
2. What are given?
3. What is/are the hidden question?
4. What operations will you use to solve the problem?
5. What is number sentence?
6. What is the answer?
pasagot po tnx
I will mark you as brainliest if your answer is good :3
Answer:
416.50 pesos
Step-by-step explanation:
Given
Represent the bread with b.
Mayonnaise with m
Ham with h
[tex]Amount\ Paid = 1000[/tex]
Required
Determine the change
From the question: a loaf costs 22.50
This is represented as:
[tex]b = 22.50[/tex]
5 loaves will be:
[tex]5*b = 22.50*5[/tex]
[tex]5b = 112.50[/tex]
A bottle of Mayonnaise costs 55.50
This is represented as:
[tex]m = 55.50[/tex]
2 bottles will be:
[tex]2*m = 55.50*2[/tex]
[tex]2m = 111[/tex]
Lastly,
1kg of ham costs 240
This is represented as:
[tex]h =240[/tex]
1.5kg will be:
[tex]1.5*h =240*1.5[/tex]
[tex]1.5h =360[/tex]
The cost of the items is:
[tex]Costs = 5b + 2m + 1.5h[/tex]
This gives:
[tex]Costs = 112.50 + 111 + 360[/tex]
[tex]Costs =583.50[/tex]
Her change is calculated as:
[tex]Change = Amount\ Paid- Cost[/tex]
[tex]Change = 1000 - 583.50[/tex]
[tex]Change = 416.50[/tex]
Evaluate the expression for the value given.
6a
4a; when a = 2
Answer:
20
Step-by-step explanation:
6(a)+4(a).
6(2)+4(2)=12+8=20
final answer is 20
answer for a brainlist
Answer:
2) Gain
3) 0.39 (rounded)
Step-by-step explanation:
2)
12.16/64= 0.19
21/100= .21
12.24/72= 0.17
3)
9.25/24= .3854
if they tell you to round it, its .39, if not its .38
PLEASE HELP!! THIS IS REALLY SERIOUS!!
Answer:
A. y= - 1/2x + 20
B. the initial value represents the total amount of gasoline used for snow plowing (in gallons)
C. the slope indicates that for every driveway plowed they use 1/2 a gallon of gasoline
hope this helps ;)
I need help with please and thank you can yall help me with a thing
Answer:
2 will give you the larger value of 17
Step-by-step explanation:
An auditorium has 21 rows of seats. The first row has 18 seats and each succeeding row has 2 more seats than the previous row. How many seats are in the auditorium?
Answer:
798
Step-by-step explanation:
So, 21*{2*18 + (21-1)*2}/2
= 21*{36 + 20*2}/2
= 21*{36+40}/2
= 21*76/2
= 1596/2
= 798
Total number of seats is 798
Given that;Number of seats in first row = 18
Number of rows = 21
Each row added number of seats then previous = 2
Find:Total number of seats
Computation:Total number of seats = Sn = (n/2)[2a + (n-1)d]
Total number of seats = Sn = (21/2)[2(18) + (21-1)2]
Total number of seats = (21/2)[36 + (20)2]
Total number of seats = (21/2)[36 + 40]
Total number of seats = (21/2)[76]
Total number of seats = (21)(38)
Total number of seats = 798
Learn more:https://brainly.com/question/16668552?referrer=searchResults
X^2-16/x^2-3x-4 simply
Answer:
x+4/x+1
Step-by-step explanation:
hope this can help you :)
Answer:
[tex]\frac{x+4}{x+1}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x^2-16}{x^2-3x-4}[/tex] ← factor numerator/ denominator
= [tex]\frac{(x-4)(x+4)}{(x-4)(x+1)}[/tex] ← cancel the factor (x - 4) on numerator/ denominator
= [tex]\frac{x+4}{x+1}[/tex]
How do i make a scaled drawing? Pls help i will give you brainliest
Answer:
draw a even shape , symbol
Step-by-step explanation:
examples- a 5x5 square , a regtangler room that is 10/1/2 feet by 8 feet.
Answer:
draw the shape or composite shape
You can use graph paper to help you make scale drawings.
rhombus and a square have one and the same side of 6 cm. The area of the rhombus is 4/5 of the area of the square. Find the height of the rhombus.
Answer:
1.8 is the h of the rhombus
Answer:
4.8 cm
Step-by-step explanation:
plz answer this question
Will give brainiest to correct answer
12m - (4 + 5m)
Answer:
17m - 4
Step-by-step explanation:
12m - (4 + 5m)
take the parentheses away
12m - 4 + 5m
12m + 5m = 17m
17m - 4
Answer:
7m-4
Step-by-step explanation:
12m - 4 - 5m (Distribute the negative)
7m - 4 (Subtract the m values and you got the answer)
free feet pic clickbait if u answer w full explimation
Anybody know? I need help
Answer:
c
Step-by-step explanation:
Jamie has white, blue, and pink shirts. She has black, white, and beige pants. She has black and brown shoes. If she chooses one shirt,
one pair of pants, and one pair of shoes, how many unique outfits can she make?
x + 2/3 = -4 one step equation
Answer:
-4.666666667
Step-by-step explanation:
x + 2/3 = -4
x = -4 - 2/3
x = -4.666666667
Wallpaper was applied to one rectangular wall of a large room. Width: 42 ft length:25.5 ft. If the total cost of the wallpaper was $771.12, what was the cost, in dollars, of the wallpaper per square foot?
Answer:
$825869.52
Step-by-step explanation:
Given that,
Width of the rectangle, b = 42 ft
Length of the rectangle, l = 25.5 ft
The area of a rectangle is given by :
A = lb
So,
A = 42 ft × 25.5 ft
A = 1071 ft²
The total cost of the wallpaper was $771.12 . So,
Cost = 1071 × 771.12
= $825869.52
So, the cost of wallpaper per square foot is equal to $825869.52.
Use the figure to decide the type of angle pair that describes 6 and 4
Bedroom rent
1 $500
2 $625
3 $700
what would be the likely cost of a 4 bedroom apartment?
Answer:
maybe $825
Step-by-step explanation:
Im not sure but I think Its accurate
Help pls. I will give brainliest to whom ever gets the answer correct.
In the diagram, BC¯¯¯¯¯∥DE¯¯¯¯¯. What is AE?
Answer:
your answer will be 18 in
Step-by-step explanation:
I hope this helps u ^_^
have a great day
Answer:
I guess a line segment.
Step-by-step explanation:
A line segment is part of a line that is bounded by two distinct end points; line with two endpoints.
I'm not too sure though.
The perimeter of the rectangle is 40 centimeters. Find the value of x.
There is a picture of a rectangle and it has an x on the left side and a 3x on the bottom.
a. 4
b. 5
c. 8
d. 10
last question on my test! please show some sort of work so i know its correct :) thanks! - dusty.
Answer:
this was 3 minutes ago... you still need the answer?
Step-by-step explanation:
Mr. Cipalla bought 5 pounds of clay for an art project. He paid $35.35 for clay. What is the unit price per pound of the clay he
bought?
Answer:
$7.07
Step-by-step explanation:
35.35/5=7.07