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lesya [120]
3 years ago
14

A woman invested 3 times as much at 6% as she did at 3%. The total amount of interest she earns in 1 year from both accounts is

$1,470. How much did she invest at each rate?
Mathematics
1 answer:
aivan3 [116]3 years ago
5 0
882 in one
And 441 in the other (ps. 882 is for 6% and 441 for 3%)
You might be interested in
Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary
AlexFokin [52]

The sum of the first 8 terms is 2.51 to the nearest hundredth

Step-by-step explanation:

In the geometric sequence there is a constant ratio between each two consecutive terms

The formula of the sum of n terms of a geometric sequence is:

S_{n}=\frac{a(1-r^{n})}{1-r} , where

  • a is the first term
  • r is the constant ratio between the consecutive terms

∵ The sequence is 6 , -5 , 25/6 , .............

∵ -5 ÷ 6 = \frac{-5}{6}

∵ \frac{25}{6} ÷ -5 = \frac{-5}{6}

- There is a constant ratio between the consecutive terms

∴ The sequence is a geometric sequence

∵ The first term is 6

∴ a = 6

∵ The constant ratio is \frac{-5}{6}

∴ r =  \frac{-5}{6}

∵ We need to find the sum of 8 terms

∴ n = 8

- Substitute the values of a, r and n in the rule above

∴ S_{8}=\frac{6[1-(\frac{-5}{6})^{8}]}{1-(\frac{-5}{6})}

∴ S_{8}=2.511595508

- Round it to the nearest hundredth

∴ S_{8}=2.51

The sum of the first 8 terms is 2.51 to the nearest hundredth

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

3 0
3 years ago
17 x \frac{3}{7}[/tex]
Sauron [17]

Among us

Lollllllllllllllllll

6 0
3 years ago
Read 2 more answers
The population of Canada in 1999 was 31,006,000. If the
nadya68 [22]
It takes only 2 years

because

31,006,000 x 1.2% = 6,201,200

so,

31, 006, 000 + 6,201,200 = 37, 207, 200

37, 207, 200 + 6,201,200 = 43, 408, 400
4 0
3 years ago
A van can travel 18 miles on each gallon of gasoline. At that rate, how many miles can the van travel on 15 gallons of gasoline?
AleksAgata [21]

Answer:

270 Miles

Step-by-step explanation:

18 miles per gallon

15 gallons

Basically count 18, 15 times

18*15=270

The van can travel 270 miles

3 0
2 years ago
The Walnut Cove Ruritan Club sells hot dogs and drinks from a concession stand at the annual 4th of July parade. Carl bought 4 h
timofeeve [1]

Let, cost of 1 hot dog and 1 drink is x and y respectively.

Carl bought 4 hot dogs and 6 drinks and paid $23.80.

4x + 6y = 23.80  ....1)

Susan purchased 4 hot dogs and 2 drinks and was charged $15.40.

4x + 2y = 15.40  ....2)

Subtracting equation 2 by 1, we get :

(4x + 6y) - (4x + 2y) = 23.80 - 15.40

4y = 8.4

y = $2.1

4x + 6×2.1 = 23.80

4x = 23.80 - 12.2

4x = 11.6

x = 2.9

Therefore, the  cost of 1 hot dog and what is the cost of 1 drink is $2.9 and $2.1 respectively.

Hence, this is the required solution.

3 0
3 years ago
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