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
melisa1 [442]
2 years ago
8

The price of an errand as increased from $30 to $35 what is the percantage increased​

Mathematics
1 answer:
tatyana61 [14]2 years ago
4 0

Answer:

5%

Step-by-step explanation:

You might be interested in
Pls help trigonometry ahhh
oksano4ka [1.4K]

Answer:

x = 6.928

Step-by-step explanation:

Since we don't know the hypotenuse, we will use tan

tanΘ = opposite/adjacent     (Θ = theta, which is basically the variable for an angle)

tan30° = x/12

to find x, multiply 12 to the other side

12tan30° = x            (plug this into a calculator)

x = 6.928

5 0
2 years ago
Tacoma's population in 2000 was about 200 thousand, and had been growing by about 9% each year. a. Write a recursive formula for
KIM [24]

Answer:

a) The recurrence formula is P_n = \frac{109}{100}P_{n-1}.

b) The general formula for the population of Tacoma is

P_n = \left(\frac{109}{100}\right)^nP_{0}.

c) In 2016 the approximate population of Tacoma will be 794062 people.

d) The population of Tacoma should exceed the 400000 people by the year 2009.

Step-by-step explanation:

a) We have the population in the year 2000, which is 200 000 people. Let us write P_0 = 200 000. For the population in 2001 we will use P_1, for the population in 2002 we will use P_2, and so on.

In the following year, 2001, the population grow 9% with respect to the previous year. This means that P_0 is equal to P_1 plus 9% of the population of 2000. Notice that this can be written as

P_1 = P_0 + (9/100)*P_0 = \left(1-\frac{9}{100}\right)P_0 = \frac{109}{100}P_0.

In 2002, we will have the population of 2001, P_1, plus the 9% of P_1. This is

P_2 = P_1 + (9/100)*P_1 = \left(1-\frac{9}{100}\right)P_1 = \frac{109}{100}P_1.

So, it is not difficult to notice that the general recurrence is

P_n = \frac{109}{100}P_{n-1}.

b) In the previous formula we only need to substitute the expression for P_{n-1}:

P_{n-1} = \frac{109}{100}P_{n-2}.

Then,

P_n = \left(\frac{109}{100}\right)^2P_{n-2}.

Repeating the procedure for P_{n-3} we get

P_n = \left(\frac{109}{100}\right)^3P_{n-3}.

But we can do the same operation n times, so

P_n = \left(\frac{109}{100}\right)^nP_{0}.

c) Recall the notation we have used:

P_{0} for 2000, P_{1} for 2001, P_{2} for 2002, and so on. Then, 2016 is P_{16}. So, in order to obtain the approximate population of Tacoma in 2016 is

P_{16} = \left(\frac{109}{100}\right)^{16}P_{0} = (1.09)^{16}P_0 = 3.97\cdot 200000 \approx 794062

d) In this case we want to know when P_n>400000, which is equivalent to

(1.09)^{n}P_0>400000.

Substituting the value of P_0, we get

(1.09)^{n}200000>400000.

Simplifying the expression:

(1.09)^{n}>2.

So, we need to find the value of n such that the above inequality holds.

The easiest way to do this is take logarithm in both hands. Then,

n\ln(1.09)>\ln 2.

So, n>\frac{\ln 2}{\ln(1.09)} = 8.04323172693.

So, the population of Tacoma should exceed the 400 000 by the year 2009.

8 0
3 years ago
Read 2 more answers
Michelle spent $32 on hot dogs and hamburgers. Hot dogs were $5 and hamburgers $6.if she bought a total of 6 items .how many of
galben [10]
The answer is B 4 hot dogs = $20 and two hamburgers = $12 so 20 plus 12 equals 32 so the answer is B
5 0
3 years ago
Read 2 more answers
Change Y = 3X to the standard form of the equation of a line.
ehidna [41]

Answer:

-3x+y=0

Step-by-step explanation:

Standard form= Ax+Bx=C

Add -3x both sides, answer -3x+1y=0

3 0
3 years ago
Is y=5x-25 proportional
Vinvika [58]
It is proportional because we increase y.
3 0
3 years ago
Other questions:
  • What is the calculator display for 5/12
    14·2 answers
  • There are
    10·1 answer
  • What is 90,175,087,309 in expanded form
    15·1 answer
  • Someone please help me will give BRAILIEST!!!!
    10·2 answers
  • Does anyone know how to do 10-21?
    14·1 answer
  • What is the image of the point (4, -8) after a rotation of 270° counterclockwise
    6·1 answer
  • What is the value of x?<br><br> Please go through the steps.
    5·1 answer
  • Mark's computer weighs 35.759 pounds. Whats is the weight of his computer rounded to the nearstest hunredth?
    8·2 answers
  • What is the order of the angles from largest to smallest?
    12·1 answer
  • A population of aardvarks is growing at a rate of 2% per year. This year there are 714 aardvarks. How many aardvarks were there
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!