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Bond [772]
3 years ago
15

An arithmetic sequence is shown below. You are not given many terms of this sequence, but you do have enough to fill in the miss

ing number. What number goes in the blank?
12, _, 54, ...
Mathematics
2 answers:
Mnenie [13.5K]3 years ago
7 0
Hello there.
<span>
An arithmetic sequence is shown below. You are not given many terms of this sequence, but you do have enough to fill in the missing number. What number goes in the blank?

12, _, 54, ...

</span>33
nirvana33 [79]3 years ago
4 0
For this, we use the equation for arithmetic sequence. It is given as:

an = a1 + (n-1)d

where an is the value at n term, a1 is the first term and d is the common difference

For 54,
54 = 12 + (3 -1)d
d = 21

an = 12 + (2-1)21
an = 33
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25% discount for AED 4000
Lostsunrise [7]

Answer:

The 25% discount on AED 4000 will be: 1000 AED

Step-by-step explanation:

Given

  • The amount = 4000
  • Discount = 25%

In order to determine a 25% discount on the amount AED 4000, all we need means is to multiply 25/100 or (0.25) by 4000.

i.e

Discount amount = 25% of 4000

                             = 25/100 × 4000

                             = 0.25 × 4000

                             = 1000 AED

Thus, the 25% discount on AED 4000 will be: 1000 AED

5 0
3 years ago
Find the area of the irregular figure. Round to the nearest hundredth.
RSB [31]

Answer:

67.5\text{ [square units]}

Step-by-step explanation:

The composite figure consists of one rectangle and two triangles. We can add up the area of these individual shapes to find the total area of the irregular figure.

<u>Formulas</u>:

  • Area of rectangle with base b and height h: A=bh
  • Area of triangle with base b and height h: A=\frac{1}{2}bh

By definition, the base and height must intersect at a 90 degree angle.

The rectangle has a base of 10 and a height of 5. Therefore, its area is A=10\cdot 5=50.

The smaller triangle to the left of the rectangle has a base of 2 and a height of 5. Therefore, its area is A=\frac{1}{2}\cdot 2\cdot 5=5.

Finally, the larger triangle on top of the rectangle has a base of 5 and a height of 5. Therefore, its area is A=\frac{1}{2}\cdot 5\cdot 5=12.5.

Thus, the area of the total irregular figure is:

50+5+12.5=\boxed{67.5\text{ [square units]}}

7 0
3 years ago
How much principle, to the nearest dollar, should you invest at 4 percent in order to have $3000 for a vacation to Europe in 3 y
KiRa [710]

Answer:

Principle should be $2,667

Step-by-step explanation:

We need $3000 for a vacation to Europe in 3 years.

Using amount formula,

A=P(1+r)^t

Where, P is principle (P=?)

A is amount (A=3000)

r is rate of interest (r=0.04)

t is time (t=3)

Substitute the values into formula and solve for P

3000=P(1+0.04)^3

3000=P(1.04)^3

P=\frac{3000}{1.04^3}

P=2666.98

P\approx \$2667

Hence, Principle should be $2,667

4 0
4 years ago
What is the average cost of 7 articles if 3 of them cost 30k each and the rest cost 12.5k each ​
LenKa [72]

{\bold{\red{\huge{\mathbb{QUESTION}}}}}

what is the average cost of 7 articles if 3 of them cost 30k each and the rest cost 12.5k each

\bold{ \red{\star{\blue{GIVEN }}}}

TOTAL NUMBER OF ARTICLE= 7

ARTICLES FOR 30K = 3

ARTICLES FOR 12.5K = 7-3= 4

\bold{\blue{\star{\red{TO \:  \: FIND}}}}

Average cost of 7 articles

\bold{  \green{ \star{ \orange{FORMULA \:  USED}}}}

\red{AVERAGE  =  \frac{TOTAL \:  COST}{ NUMBER  \: OF\: ARTICLES }}

\huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}

Average \:  cost  \: of  \: 7  \: articles -  >  \\  \frac{(3 \times 30k) + (12 .5k \times 4)}{7}  \\  \frac{90k + 50k}{7}  \\  \frac{140k}{7}  \\  \blue {Average \:  cost  \: of  \: 7  \: articles -  >} \\ 20k

5 0
3 years ago
I need help with this question! Will mark brainliest :)
irinina [24]

Answer:

hiii

your answer is option d

<h2><em>HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN</em></h2>
3 0
3 years ago
Read 2 more answers
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