1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sleet_krkn [62]
3 years ago
14

Send me help plz I don’t understand

Mathematics
1 answer:
Elina [12.6K]3 years ago
8 0

Simple interest:

i = prt

where i = interest earned

p = principal deposited

r = annual rate

t = number of years

You want the interest to be $500. The rate is 4%, and the principal is $2000.

Enter those values in the formula for simple interest above and solve for t, the time in years.

500 = 2000 * 4% * t

500 = 2000 * 0.04 * t

500 = 80t

t = 6.25

Answer: 6.25 years

You might be interested in
Determine the equation of the line that is perpendicular to the lines r(t)=(-2+3t,2t,3t)
Mnenie [13.5K]
<span>Vector Equation
(Line)</span>(x,y) = (x,y) + t(a,b);tERParametric Formx = x + t(a), y = y + t(b); tERr = (-4,-2) + t((-3,5);tERFind the vector equation of the line passing through A(-4,-2) & parallel to m = (-3,5)<span>Point: (2,5)
Create a direction vector: AB = (-1 - 2, 4 - 5) 
= (-3,-1) or (3,1)when -1 (or any scalar multiple) is divided out.
r = (2,5) + t(-3,-1);tER</span>Find the vector equation of the line passing through A(2,5) & B(-1,4)<span>x = 4 - 3t
y = -2 + 5t
;tER</span>Write the parametric equations of the line passing through the line passing through the point A(4,-2) & with a direction vector of m =(-3,5)<span>Create Vector Equation first:
AB = (2,8)
Point: (4,-3)
r = (4,-3) + (2,8); tER
x = 4 + 2t 
y = -3 + 8t
;tER</span>Write the parametric equations of the line through A(4,-3) & B(6,5)<span>Make parametric equations: 
x = 5 + 4t
y = -2 + 3t ; tER
For x sub in -3
-3 = 5 + 4t 
(-8 - 5)/4 = t
-2 = t
For y sub in -8 
-8 = -2 + 3t
(-8 + 2)/3 = t
-2 = t
Parameter 't' is consistent so pt(-3,-8) is on the line.</span>Given the equation r = (5,-2) + t(4,3);tER, is (-3,-8) on the line?<span>Make parametric equations: 
x = 5 + 4t
y = -2 + 3t ; tER
For x sub in 1
-1 = 5 + 4t 
(-1 - 5)/4 = t
-1 = t
For y sub in -7 
-7 = -2 + 3t
(-7 + 2)/3 = t
-5/3 = t
Parameter 't' is inconsistent so pt(1,-7) is not on the line.</span>Given the equation r = (5,-2) + t(4,3);tER, is (1,-7) on the line?<span>Use parametric equations when generating points: 
x = 5 + 4t
y = -2 + 3t ;tER
X-int:
sub in y = 0
0 = -2 + 3t
solve for t
2/3 = t (this is the parameter that will generate the x-int) 
Sub t = 2/3 into x = 5 + 4t 
x = 5 + 4(2/3)
x = 5 + (8/3)
x = 15/3 + (8/3) 
x = 23/3
The x-int is (23/3, 0)</span>What is the x-int of the line r = (5,-2) + t(4,3); tER?Note: if they define the same line: 1) Are their direction vectors scalar multiples? 2) Check the point of one equation in the other equation (LS = RS if point is subbed in)What are the two requirements for 2 lines to define the same line?
3 0
3 years ago
Here's a graph of a linear function. Write the equation that describes that function. 8 Express it in slope intercept form. Ente
Stolb23 [73]

Answer:

f(x) = \frac{1}{2}x+4

Step-by-step explanation:

Let the equation of the function is,

f(x) = mx + b

Here, m = slope of the line

b = y-intercept

From the graph attached,

y-intercept 'b' = 4

Slope = \frac{\text{Rise}}{\text{Run}}

          = \frac{4}{8}

          = \frac{1}{2}

Therefore, equation of the function representing the graph will be,

f(x) = \frac{1}{2}x+4

5 0
3 years ago
It took a farmer 7 1/2 hours to plant 1/8 acre with plants. What is the unit rate in acres per hour
Masteriza [31]
The answer is 60 because you have to divide 7 1/2 by 1/8

3 0
3 years ago
Order the data from lest to greatest 35, 24,25,38,31,20,27
kolbaska11 [484]

Answer:

Step-by-step explanation:

20,24,25,27,31,35,38

minimum;20

medium: 27

maximum: 38

lower quartile: 24

upper quartile:35

put numbers in number order

the first number is the minimum, the last number is the maximum. the middle number "split" is the median.

quartiles are the numbers in the middle of the data you just "split"

(so like a quarter)

i may be wrong i haven't done this in years

3 0
3 years ago
The function h(t) = -16t^2 + 16t represents the height (in feet) of a horse (t) seconds after it jumps during a steeplechase.
Vladimir79 [104]
A.) To find the maximum height, we can take the derivative of h(t). This will give us the rate at which the horse jumps (velocity) at time t.

h'(t) = -32t + 16

When the horse reaches its maximum height, its position on h(t) will be at the top of the parabola. The slope at this point will be zero because the line tangent to the peak of a parabola is a horizontal line. By setting h'(t) equal to 0, we can find the critical numbers which will be the maximum and minimum t values.

-32t + 16 = 0

-32t = -16

t = 0.5 seconds

b.) To find out if the horse can clear a fence that is 3.5 feet tall, we can plug 0.5 in for t in h(t) and solve for the maximum height.

h(0.5) = -16(0.5)^2 + 16(-0.5) = 4 feet

If 4 is the maximum height the horse can jump, then yes, it can clear a 3.5 foot tall fence.

c.) We know that the horse is in the air whenever h(t) is greater than 0. 

-16t^2 + 16t = 0

-16t(t-1)=0

t = 0 and 1

So if the horse is on the ground at t = 0 and t = 1, then we know it was in the air for 1 second.
7 0
3 years ago
Other questions:
  • 7+2=2+7 how do you do this and show your work
    6·1 answer
  • (-5)^-4. a) 20. b)-625 c) 1/625. d. - 1 / 625
    10·1 answer
  • divide 575 by 14 by using partial quotients. what is the quotient? explain your answer using number and words
    8·1 answer
  • MATH HELP
    9·1 answer
  • What is the equation in point slope form of the line that passes through the points (2,4) and has a slope of 3
    10·2 answers
  • HELPPPPP (AGAIN)<br><br> 6 + (2 · 3) · 7
    8·2 answers
  • Solve for x: (5 points) negative 3 over 2, multiplied by x minus 9 equals negative 27 a −24 b −12 c 11 d 12
    10·1 answer
  • Given z, find lzl.<br> Z = 10i<br> IzI = [?]
    14·1 answer
  • Find the missing side length 12 cm 1,200 cm 20 cm ____ cm​
    7·1 answer
  • On hot, sunny, summer days, Jane rents inner tubes by the river that runs through her town. Based on her past experience, she ha
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!