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
notka56 [123]
3 years ago
15

When sales of a particular hybrid automobile reach 60,000 units, federal income tax credits begin to phase out. One year after r

eaching this threshold, buyers are still eligible for 25% of the original $3000 credit. What tax credit would buyers receive if they purchased the vehicle at this time.
Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
3 0

Answer:

$750

Step-by-step explanation:

so, in short, we need to calculate 25% of $3000.

that is the amount of tax credit a buyer would get then.

direct and fast answer :

25% means 1/4 of the overall amount.

$3000 / 4 = $750

now, a little bit longer to explain % calculations in general.

let's say, we are talking 27%. now we have a problem to find a fast fraction as factor.

it always starts with the identification of 100%.

what is the full starting amount we are dealing with ? that is the 100%.

in our case $3000.

now, as a base for the calculation we determine 1%, which is 1/100 of 100%, of course.

1% = $3000 / 100 = $30

to get said 27% we have to multiply this by 27

27% = 1% × 27 = $30 × 27 = $810

or in general

x% = 100% × x / 100

that also works for more complex questions. e.g. calculate 1.5%

1.5% = $3000 × 1.5 / 100 = $30 × 1.5 = $45

and that is all there is to % calculations. all the questions are just some variations, where your are missing one of the 3 "ingredients" : 100% amount, x% amount and x itself.

and you need to transform the general equation above to get the missing piece of of the given information.

You might be interested in
Keisha has $2.00 she wants to buy four notepads. Does she have enough money and explain your reasoning
katrin [286]
If each notepad costs $.65, it would cost $2.60 to buy four, so she does not have enough
3 0
3 years ago
Read 2 more answers
Write explicit formula for a1=3, r=-2; then generate 1st 5 terms
Crazy boy [7]

Answer:

  • an = 3(-2)^(n-1)
  • 3, -6, 12, -24, 48

Step-by-step explanation:

These variable names, a1, r, are commonly used in relationship to geometric sequences. We assume you want the terms of a geometric sequence with these characteristics.

a1 is the first term. r is the ratio between terms, so is the factor to find the next term from the previous one.

  a1 = 3  (given)

  a2 = a1×r = 3×(-2) = -6

  a3 = a2×r = (-6)(-2) = 12

  a4 = a3×r = (12)(-2) = -24

  a5 = a4×r = (-24)(-2) = 48

The first 5 terms are 3, -6, 12, -24, 48.

__

The explicit formula for the terms of a geometric sequence is ...

  an = a1×r^(n -1)

Using the given values of a1 and r, the explicit formula for this sequence is ...

  an = 3(-2)^(n -1)

6 0
3 years ago
Five workers dig a trench 5 yards long in 5 hours. How many workers are needed to dig a 100 yards long in 100 hours?
Pavlova-9 [17]

I think it would require 100 workers since 1 worker digs up 1 yard.

Hope this helps.

7 0
3 years ago
Given: \overline{AC} \perp \overline{BD} AC ⊥ BD and \overline{BD} BD bisects \overline{AC}. AC . Prove: \triangle ABD \cong \tr
Fofino [41]

Answer:

The Proof for

△ABD ≅ △CBD is below

Step-by-step explanation:

Given:

\overline{AC} \perp \overline{BD}

\overline{BD} \ bisects\  \overline{AC}

AD = CD      .........BD bisect AC

To Prove:

△ABD ≅ △CBD

Proof:

In  ΔABD  and ΔCBD  

BD ≅ BD              ....……….{Reflexive Property}

∠ADB ≅ ∠CDB    …………..{Measure of each angle is 90°( \overline{AC} \perp \overline{BD} )}

AD ≅ CD              ....……….{ \overline{BD} \ bisects\  \overline{AC} }

ΔABD  ≅ ΔCBD   .......….{By Side-Angle-Side Congruence test}  ...Proved

4 0
3 years ago
Plz help becuase im trying to have this done in one min . ☝☝
In-s [12.5K]

Answer:

yes

Step-by-step explanation:

they both multiply by 20

4 0
3 years ago
Read 2 more answers
Other questions:
  • At the beginning of the season, MacDonald had to remove
    10·1 answer
  • Bag of potatoes weighs 10 pounds what is the weight of the potatoes on ounce
    15·2 answers
  • Mia purchased a book for $22.30 that were regularly priced at $30.00,not including tax. What percent of the cost did Mia save by
    14·1 answer
  • The problem is in the pictures, please show step by step how to do it. Thanks! :)
    7·2 answers
  • If mJL = 5.<br> then mML=
    12·1 answer
  • What is the value of x?<br> Enter your answer in the box.
    14·1 answer
  • The original price of a packet of potato chips was $2.50. Now, 5 packets of potato
    13·1 answer
  • Please help I will give brainliest.
    13·1 answer
  • A white rhinoceros weighs about 2 ½ tons. How many pounds does the white rhinoceros weigh?
    12·1 answer
  • What’s the difference between 6.2 X 10-4 and 8.7 X 10-6? Using standard notation or scientific notation
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!