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algol [13]
3 years ago
5

salas little brother is learning to talk. he has a vocabulary of 30 words. each week his vocabulary grows by about 6%. at this r

ate how many words will he know 5 weeks from now
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
8 0

30 * (1+0.06)^5=

30* 1.338225578 = 40.146

 he will know 40 words in 5 weeks

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A metalworker has a metal alloy that is 25% copper and another alloy that is 60% copper.How many kilograms of each alloy should
Neporo4naja [7]

Answer:

20kg of 25% copper alloy

30kg of 60% copper alloy

Step-by-step explanation:

There are 2 kinds of metal, first metal(A) have 25% copper while the second metal(B) has 60% copper. The metalworker want to create 50kg of metal, which means the total weight of both metals is 50kg (A+B = 50). The metalworker also want the metal made of a 46% which is 23kg(0.25A + 0.6B = 0.46*50). From these sentences, we can derive 2 equations. We can solve this with substitution.

A+B = 50

A= 50-B

Let's put the first equation into the second.

0.25A + 0.6B = 0.46 *50

0.25(50-B) + 0.6B =23

12.5 - 0.25B + 0.6B =23

0.35B=23 -12.5

B= 10.5/ 0.35= 30

Then we can solve A

A= 50-B

A= 50-30

A=20

8 0
3 years ago
mark has a board that is 12 feet long. he cuts the board into 8 pieces that are the same lenghth. how long is each piece?
Anna71 [15]
(12 ft) / 8 = 1.5 ft = 1 foot 6 inches
3 0
4 years ago
Please help me out !
Ahat [919]

Answer:

a) -9/-10 (4th)

b) -3/5 (4th)

3 0
3 years ago
Read 2 more answers
Rita is the manager of the football team, and she has been assigned the task of painting a mascot in the middle of the field. Th
Alik [6]

Answer:

25 square yards

Step-by-step explanation:

We assume that "fits neatly" means "fills" so that the area of the painting is the same as the area of the square. Put the numbers in the formula and do the arithmetic.

A = (5 yd)² = 5² yd² = 25 yd²

4 0
3 years ago
A bank loans a customer $66,000 for a period of 5 years. the simple interest rate of the loan is 10.5%. what is the total amount
MArishka [77]
66,000*0.15
9,900*5
49,500+66000
The answer is 115.500
I'm not sure if the whole thing is correct, but here is the easier way:
66,000(1+1.15)^5
6 0
3 years ago
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