Step-by-step explanation:
Oliver deposits P= $1,000
Then total amount A after n months given that the balance increases by %15 each month can be calculated as
[tex]A= 1000(1+15/100)^n[/tex]
Assuming the increase in amount is compounded monthly.
The scale on a map is 1: 75 000. (a) Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map. (b) Calculate length of a road on the map which is 0.58 km. (c) Calculate, in km2, the ACTUAL area of a lake which is 12 cm2 on the map. (d) Calculate the area of a play field on the map which has has an actual area of 90 km2.
Answer:
a. 1 200 000 km
b. 0.000 773 cm
c. 67 500 000 000 km²
d. 0.000 000 016 cm²
Step-by-step explanation:
a. Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.
Since the scale is 1 : 75000 that is 1 cm : 75000 km, we want to find the actual distance of 16 cm on the map. Let x be the actual distance in km.
So, 1 cm : 75000 km = 16 cm : x km
So, 1 cm/75000 km = 16 cm/x km
Thus x km = 16 cm × 75000 km/1 cm = 1 200 000 km
(b) Calculate length of a road on the map which is 0.58 km.
Let y be the length of road on the map. So, using our scale
1 cm : 75000 km = y cm : 0.58 km
So, 1 cm/75000 km = y cm/0.58 km
Thus y cm = 0.58 km × 1 cm/75000 km = 0.000 773 cm
(c) Calculate, in km², the ACTUAL area of a lake which is 12 cm2 on the map.
Since the scale is 1 : 75000 , the scale for the area would be the square of this. So, 1² : 75000² = 1 : 5 625 000 000 which is 1 cm² : 5 625 000 000 km²
Let z be the actual area of the lake.
So, 1 cm² : 5 625 000 000 km² = 12 cm² : z km²
So, 1 cm²/5 625 000 000 km² = 12 cm²/z km²
Thus z km² = 12 cm² × 5 625 000 000 km²/1 cm² = 67 500 000 000 km²
(d) Calculate the area of a play field on the map which has has an actual area of 90 km².
Let a represent the area of the play field on the map. Using our scale for the area,
1 cm² : 5 625 000 000 km² = a cm² : 90 km²
So, a cm² = 90 km² × 1/5 625 000 000 km² = 0.000 000 016 cm²
The graph below represents the relationship between Jackie’s salary, s, and the length of time she works, t.
What is Jackie's salary when she works 8h?
A scatter plot was made to show the value of certain cars based on the age of the car in years. The equation of the scatter plot's trend line is y = -1,700x +
32,000 where y is the value of the car in dollars, and x is the age of the car in years.
Use the trend line equation to predict the value of a car after 7 years.
O A. $18.82
O B. $18,820
O C. $25,000
O D. $20,100
Answer:
I think it's D.
Step-by-step explanation:
So if the x is -1,700 and it stands for the years, then times it by 7. That would make -11,900. After you times it, add the 32,000 dollars and you would get $20,100. (I might have done the math wrong but I think this is the answer,)
4d2–15d+9=0 solve for d
Answer:
d = 3 and d = 3/4
Step-by-step explanation:
This is a quadratic eqution. Let's use the quadratic formula to solve it.
If ax^2 + bx + c = 0, then:
-b ± √(b^2 - 4ac)
x = ---------------------------
2a
With a = 4, b = -15 and d = 9, we have:
-(-15) ± √(225 - 4(4)(9) ) 15 ±√81 15 ±9
d = ------------------------------------ = -------------- = -------------- = 24/8 and 6/8
2(4) 8 8
Simplifying these results, we get d = 3 and d = 3/4
PLLLLLLLLLLLSSSSSSSSSS HELP MEEE
Answer:
y=0.5x
Step-by-step explanation:
Answer:
y = 1/2x
Step-by-step explanation:
Practising and Applying
1. Find the lowest common multiple of
each group. Show the factors you used.
a) 5, 20, and 28
5,
b) 4, 8, and 32
c) 38 and 57
d) 5, 22, and 121
Answer:
1. 140
2. 32
3. 114
4. 660
Step-by-step explanation:
Practising and Applying
1. Find the lowest common multiple of
each group. Show the factors you used.
a) 5, 20, and 28
Multiples of 5:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150
Multiples of 20:
20, 40, 60, 80, 100, 120, 140, 160, 180
Multiples of 28:
28, 56, 84, 112, 140, 168, 196
Therefore,
LCM(5, 20, 28) = 140
b) 4, 8, and 32
Multiples of 4:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40
Multiples of 8:
8, 16, 24, 32, 40, 48
Multiples of 32:
32, 64, 96
Therefore,
LCM(4, 8, 32) = 32
3. 38 and 57
Multiples of 38:
38, 76, 114, 152, 190
Multiples of 57:
57, 114, 171, 228
Therefore,
LCM(38, 57) = 114
4. 5, 22, and 121
Multiples of 5:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 270, 275, 280, 285, 290, 295, 300, 305, 310, 315, 320, 325, 330, 335, 340, 345, 350, 355, 360, 365, 370, 375, 380, 385, 390, 395, 400, 405, 410, 415, 420, 425, 430, 435, 440, 445, 450, 455, 460, 465, 470, 475, 480, 485, 490, 495, 500, 505, 510, 515, 520, 525, 530, 535, 540, 545, 550, 555, 560, 565, 570, 575, 580, 585, 590, 595, 600, 605, 610, 615, 620, 625, 630, 635, 640, 645, 650, 655, 660, 665, 670
Multiples of 12:
12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240, 252, 264, 276, 288, 300, 312, 324, 336, 348, 360, 372, 384, 396, 408, 420, 432, 444, 456, 468, 480, 492, 504, 516, 528, 540, 552, 564, 576, 588, 600, 612, 624, 636, 648, 660, 672, 684
Multiples of 22:
22, 44, 66, 88, 110, 132, 154, 176, 198, 220, 242, 264, 286, 308, 330, 352, 374, 396, 418, 440, 462, 484, 506, 528, 550, 572, 594, 616, 638, 660, 682, 704
Therefore,
LCM(5, 12, 22) = 660
1
The rate of population decline of Seaside
Harbor is modeled by the equation
-0.00810
P(t)=15000e
where t is the time
in years and 15,000 is the current
population. In approximately how many
years will the population of Seaside
Harbor be 9,000?
(−0.0081p)(t)=(15000)(2.718282)
Step 1: Divide both sides by -0.0081t.
−0.0081pt
−0.0081t
=
40774.227427
−0.0081t
p=
−40774.227427
0.0081t
Answer:
p=
−40774.227427
0.0081t
Double question help plz solve with more points
PLEASE HELP ILL GIVE BRAINLIEST
PLEAZE SHOW WORK
Answer:
A
Step-by-step explanation:
divide it
45/.7
PLZ HELP ASAP LIKE IM FAILING MY MATH
Answer:
15 is a
Step-by-step explanation:
Can someone please help me 11 points ! If you don’t know add a comment don’t answer !!
Step-by-step explanation:
In the 1st one,
They are parallel linesThey both have the same slopeThe y intercepts are differentThey will have 0 solutions.E.x
[tex]2x + 5 = 2x + 3[/tex]
In the 2nd one,
They are intersecting linesThe slope is differentThe y intercepts are differentThey will have 1 solutionE.x[tex]2x + 6= 5x + 5[/tex]This equation will have only 1 solution if you solve it.
In the 3rd one
They are coincident linesThey have the same slopeThey have the same y interceptThey have infinite solutionsE.x
[tex]2x + 9 = 2x + 9[/tex]
You can plug any x value into the problem and it would be true.
Will give Brainly! Need help!
Answer:
(-3,5)
Step-by-step explanation:
Please brainleist me
The sun is currently at a 67° angle of elevation. A tree is leaning away from the sun at a 5° angle
and casts an 18-foot shadow. How tall is the tree?
Answer:
correct me if Im wrong but
I think it would be 35.293
give the like terms step by step.
Answer:
Step-by-step explanation:
Like terms have same variable.
Given term like term
-19m 5m
28 952
42bc -2bc
-y 7y
2r 45r
what is the axis of symmetry for y=6x^2+6x
Answer:
x=3
Step-by-step explanation:
How do I write the equation of a line that goes through the points (9,-8) and (6,-8)???
Answer: y=-8
Step-by-step explanation: I will assume you want the solution in slope intercept form. First, we must find the slope of this line. Since between the two points the y value doesn't change, this means our line is horizontal. So far, we have y=0x+b, since anything multiplied by 0 is zero, we can get rid of that. This line is a horizontal line, and we have the y value, so out equation is y=-8.
HELP ME ASAP 100 POINTS The height of a right square pyramid is multiplied by 6, but the dimensions of the base remain fixed. By what factor is the volume multiplied? A. 3 B. 6 C. 12 D. 36
Answer:
the answer is 3 b. multiplied by 6
Parallelogram A B C D is shown. Sides A B and D C are parallel, and sides A D and B C are parallel. Angle C is (3 y + 27) degrees and angle A is (5 y minus 3) degrees. What is the measure of ∠A? ° What is the measure of ∠B? ° What is the length of segment EF? units
Answer:
m<A = 72 degrees
m<B = 108 degrees
Step-by-step explanation:
For the parallelogram ABCD
The sum of the opposite angle will be 180 degrees
Hence <A + <B = 180 and m<A = m<C
5y - 3 = 3y + 27
5y - 3y = 27 + 3
2y = 30
y = 30/2
y = 15
Get m<A
m<A = 5y - 3
m<A = 5(15)-3
m<A = 75 - 3
m<A = 72 degrees
Get m<B
From the equation above;
m<B = 180 - m<A
m<B = 180 - 72
m<B = 108degrees
What is the green dashed line called?
Answer:
axis of symetry
Step-by-step explanation:
Beast_Building on yt
Question 8 - Find the mean
Answer:
You can hack it double click and press inspect for answers
Step-by-step explanation:
Solve for the missing arc:
A 32.25 degrees
B 64.5 degrees
C 129 degrees
D 45 degrees
Answer:
hey i am also on this problem did you ever figure it out
Jack has $20 in his savings account that earns 10% annually.The interest is not compound.How much will he have in 1 year?
Answer:
$22
Step-by-step explanation:
Given data
Principa= $20
rate= 10%
time= 1 year
The simple interest expression is given as
A= P(1+rt)
substitute
A= 20(1+0.1*1)
A= 20*1.1
A= $22
Hence the amount after 1 year is $22
Preston has more than $8 in his wallet. Which inequality represents this situation?
A) c>8
B) c≤8
C) c≥8
D) c<8
Answer:
D
Have a great day
Answer:
A ) c > 8
Step-by-step explanation:
> this is the greater than sign and the question says " more than 8$ "
There is a line that includes the point (4,8) and has a slope of 4 What is its equation in slope- intercept form
Answer:
y=4x-8
Step-by-step explanation:
1) The slope-intercept form of an equation looks like this:
y=mx+b
The m stands for the slope and the b stands for the y-intercept. We need two points on the line to write out this equation.
2)We have the slope you entered in, so we'll plug that in first:
y=4x+b
3) Now, let's plug in that point you entered in to solve for b:
y=4x+b
8=4(4)+b
8=16+b
8-(16)=b
-8=b
4) Now that we have both our slope, m, and our y-intercept, b, values, we can plug them in to get our equation:
y=mx+b
y=4x-8
Who caN do it correctly
Answer:
9.
Step-by-step explanation:
Kishany is investing in a savings account that earns 3.85% interest compounded annually. How much will Kishany have in the account at the end of the 3rd year if she deposits $600 in the account?
a
$2,310
b
$672.00
c
$558.38
d
$669.30
Answer:
The amount in the account after 3 years is $672.00
Step-by-step explanation:
Here, we want to use the compound interest formula
A = P(1 + r/n)^nt
A is the amount in the account after the given time
P is the principal which is the deposit amount = $600
r is the interest rate = 3.85% = 3.85/100 = 0.0385
n is the number of times interest is compounded yearly (since it is annually, n = 1)
t is the time in years = 3
Substituting these values;
A = 600(1 + 0.0385/1)^(3 * 1)
A = 600(1.0385)^3
A = $672
a cheeta can run 70 miles per hour. What is this speed in feet
Answer: 369,600 feet per hour.
Step-by-step explanation:
The correct answer to this question is that the cheetah can run 369,000 feet per hour. We can work this out in the following way:
One mile equals 1760 yards
In feet that is 3 x 1760 or 5,280
So Feet per hour will be 5280 x 70 or
369,600 feet per hour.
Answer:
6160 feet per minute
brainliest, please
What is the y-intercept of this graph?
Answer:
The y intercept is 3
Step-by-step explanation:
Consider the expression: 56x3 - 27x + 45
What is the best description of the 27 in this expression?
a 27 is a term
b 27 is an irrational number
c 27 is a coefficient
d 27 is an exponent
i need this i is are has stup id
so ill give 100 points
Answer:
its B, since 2 x 18 = 36
Step-by-step explanation:
Answer:
18 books
Step-by-step explanation:
there is 2 books in group 2 so that means you do
36 / 2 = 18
one book represents 18 books