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
Anastasy [175]
2 years ago
11

Which of the following options have the same value as 30% percent of 81?

Mathematics
1 answer:
Shkiper50 [21]2 years ago
5 0

Answer:

24.3

Step-by-step explanation:

30% of 81 can be found by converting the percentage into the fraction 0.30 and then multiplying:  0.30(81) = 24.3

You might be interested in
c) If an initial investment of $ 35,000 grows to $257,000 in 15 years, what annual interest rate, continuously compounded, was e
castortr0y [4]

Answer: 13.29%

Step-by-step explanation:

The formula to calculate the compound amount (compounded continuously) is given by :-

A=Pe^{rt}, where P is the principal amount , r is the rate of interest ( in decimal) and t is the time period.

Given : P= $ 35,000 , A=  $257,000 and t=15 years

To find : r , we substitute all the values in the above formula , we get

257000=(35000)e^{15r}\\\\\Rightarrow\ e^{15r}=\dfrac{257000}{35000}\\\\\Rightarrow\ e^{15r}=7.3428

Taking natural log on both the sides , we get

15r=\ln(7.3428)\\\\\Rightarrow\ 15r=1.9937\\\\\Rightarrow\ r=\dfrac{1.9937}{15}0.132913333333\approx0.1329=13.29\%

Hence, the annual interest rate = 13.29%

6 0
3 years ago
What is the magnitude of 5-3i
VikaD [51]
Hi the answer for your question is 34
5 0
2 years ago
PLEASE HELP GEOMETRY PLEASE! SHOW WORK!!
MissTica

Answer:

area = 24 cm²

Step-by-step explanation:

area = 1/2 x 6 x 8 = 24 cm²

7 0
2 years ago
Robert makes 50 litres of green paint by mixing litres of yellow paint and litres of blue paint in the ratio 2:3.
podryga [215]

Answer:

  • 35%

Explanation:

<u>1. Cost of each liter of yellow paint:</u>

Yellow paint is sold in 5 litre tins and ach tin costs £26, thus the cost of one liter is £26 / 5 liters = £5.2 per liter.

<u>2. Cost of each liter of blue paint:</u>

Blue paint is sold in 10 litre tins and each tin costs £48, thus the cost of one liter of blue paint is £48 / 10 liters = £4.8 per liter

<u>3. Cost of each liter of green paint.</u>

Green paint is made by mixing yellow paint and blue paint in the ratio 2:3

Thus, 5 liters of green paint will cost:

2 liters yellow paint: 2 liter × £5.2 / liter = £10.4

3 liters blue paint:     3 liter × £4.8 / liter = £14.4

                                 ==========              ========

5 liters green paint:   5 liter                        £24.8

Cost of one liter of gree paint: £24.8 / 5 liter = £4.96 / liter

<u>4. Profit</u>

Price of each liter of green paint: £66.96 / 10 liters = £6.696 / liter = £6.70 / liter

Profit per liter = price per liter - cost per liter = £6.70/liter - £4.96 / liter = £1.74 / liter

Percentage profit = profit per liter / cost per liter × 100

Percentage profit = (£1.74 / liter) / (£4.96/liter) × 100 =  35.08% = 35%

4 0
3 years ago
Figure ABCD is transformed to obtain figure A′B′C′D′:
Kisachek [45]

Step-by-step explanation:

part A:

ABCD is transformed to obtain figure A′B′C′D′:

1) by reflection over x-axis, obtain the image :

A(-4,-4) B(-2,-2) C(-2, 1) D(-4, -1)

2) by translation T (7 0), obtain the image :

A'(3,-4) B'(5,-2) C'(5, 1) D'(3, -1)

part B:

the two figures are congruent.

the figures that transformed by reflection either or translation will obtain the images with the same shape and size (congruent)

6 0
2 years ago
Other questions:
  • Lara solved an equation incorrectly, as shown below:
    9·2 answers
  • Which statement best describes the association between variable X and variable Y?
    8·2 answers
  • If a ball is thrown into the air with a velocity of 38 ft/s, its height in feet t seconds later is given by y = 38t − 16t2. (a)
    5·1 answer
  • What is the value of (-7 + 3i) - (2-6i)?
    10·2 answers
  • How does a balance sheet work?
    15·1 answer
  • PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
    14·2 answers
  • A rectangular flower garden in Samantha's backyard has 140 feet around its edge. The width of the garden is 30 feet
    9·1 answer
  • Can Someone Help Me Last Question thxs!
    7·1 answer
  • What is an exquation of the line in slope-intercept form if m=2 and the y-intercept is (0,3)
    13·1 answer
  • If you invest $7000 in an account that pays 6% interest compounded annually, what is the total amount of money that you would ha
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!