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
mario62 [17]
3 years ago
11

Jessica plans to purchase a car in one year at a cost of $30,000. how much should be invested in an account paying 10% compounde

d semiannually to have the funds needed?
Mathematics
1 answer:
dezoksy [38]3 years ago
4 0
The formula is
A=p (1+r/k)^kt
A fund needed 30000
p Amount invested?
R interest rate 0.1
K compounded semiannual 2
T time 1 year
Solve the formula for p to get
P=A÷(1+r/k)^kt
P=30,000÷(1+0.1÷2)^(2×1)
P=27,210.88
You might be interested in
Manipulate the triangle so angle A measures 14° and angle B measures 62°. Which statement is true about angle C?
Vikki [24]

Answer:

were is the triangle?

Step-by-step explanation:

i cant help if i dont see it

3 0
3 years ago
Read 2 more answers
Please Help!! Brainliest Answer! Thank you
stiks02 [169]

Answer:

A

Step-by-step explanation:

O = 26.6

P is a right angle so:

P = 90

angles PQO = 180

To determine Q: triangle total - (P + O)

180 - (90 + 26.6)

180 - 116.6 = 63.4

Q = 63.4

To determine side lengths: a^2 + b^2 = c^2

4^2 + b^2 = c^2

*Variable c is always hypotenuse*

Need more information so find either b or c through SOH, CAH, TOA

SOH: sine = opposite/hypotenuse

CAH: cos = adjacent/hypotenuse

TOA: tan = opposite/adjacent

tan26.6/1 = b/4

Cross multiply

1 × b = 4 × tan26.6

b = 4tan26.6

b = 2.003050791

b is about 2

b = PQ

PQ = 2

Plug b value into pythagorean theorm

4^2 + 2^2 = c^2

16 + 4 = c^2

20 = c^2

square root of 20 = square root of c^2

4.47213.... = c

c is about 4.47

c = QO

5 0
3 years ago
Read 2 more answers
A bus covers a distance of 2.45 km in 2 min. What is the speed of bus?​
Vladimir [108]

Answer:

The speed of the bus is 74.242 kilometers per hour.

Step-by-step explanation:

Let suppose that bus runs at constant speed and that speed is measured in kilometers per hour. Then, the speed of the bus (v), in kiometers per hour, is determined by following kinematic expression:

v = \frac{s}{t} (1)

Where:

s - Travelled distance, in kilometers.

t - Time, in hours.

If we know that s = 2.45\,km and t = 0.033\,h, then the speed of the bus is:

v = \frac{s}{t}

v = 74.242\,\frac{km}{h}

The speed of the bus is 74.242 kilometers per hour.

7 0
3 years ago
A type of organism's cells split every minute. If the organism has 4 cells when the cells begin to split, how many cells will th
snow_lady [41]

Answer:

The total of cells will the organism have after 6 minutes is 252

Step-by-step explanation:

* Lets consider this problem as a geometric series

- There is a constant ratio between each two consecutive numbers

Ex:

# 5  ,  10  ,  20  ,  40  ,  80  ,  ………………………. (×2)

# 5000  ,  1000  ,  200  ,  40  ,  …………………………(÷5)

* General term (nth term) of a Geometric series:

∵ U1 = a  ,  U2  = ar  ,  U3  = ar^2  ,  U4 = ar^3  ,  U5 = ar^4

∴ Un = ar^n-1

- Where r is the ratio between each two consecutive terms and

 n is the position of the number in the series

* The sum of first n terms of a Geometric Progression is calculate from

 Sn = a(1 - r^n)/1 - r  

- In the problem the cell split every minute

- The organism has 4 cells when the cells begin to split

∴ a = 4

# 4 , 8 , 16 , 32 , .......

∴ r = 2

- The total of cells will the organism have after 6 minutes can

  calculate from the rule of the sum

∴ S6 = 4(1 - 2^6)/1 - 2 = 4(1 - 64)/-1 = 4(-63)/-1 = 252 cells

4 0
3 years ago
Find the slope of the line.
zubka84 [21]

to get the slope of any line, all we need is two points off of it.

so let's see hmmmmmmm this line passes through (0, 1) and hmmmm (4, -2)


\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-2}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-2-1}{4-0}\implies \cfrac{-3}{4}\implies -\cfrac{3}{4}

8 0
3 years ago
Other questions:
  • If f(x) x^2-3x find f(-1.8
    6·1 answer
  • Given the equation square root of 2x-1=7 solve for x and identify if it is an extraneous solution. I came up with the answer 25
    7·1 answer
  • Simplify ( 1 - cos0)( 1 + cos0) / ( 1 - sin0) ( 1 + sin0)
    12·2 answers
  • Please help this is really important
    6·1 answer
  • Earnings You work for 4 h on Saturday and 8 h on Sunday. You also receive a $50 bonus. You earn $164. How much did you earn per
    15·1 answer
  • Factorise this pleasee <br><br> x2 + 4x -45
    6·1 answer
  • Find the positive square root of 0.00822649
    8·1 answer
  • Please help me solve this question
    5·1 answer
  • Please awnser!!!!!!!!!!!
    5·2 answers
  • Find the slope of the line passing through the points (1, -1) and (4, -2).
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!