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Fiesta28 [93]
3 years ago
13

Nico was stunned when he opened the mail.Here was a check for $332.50 this is the interest he earned on his investment.One year

ago Nico had been given 5,000.His parents made him put it in the bank and save it for college,but the said he could keep the interest it earned each year.A portion of his money is deposited in a high rate account that earned 8% annual interest.The rest is in a regular account that earned 3% this year.Both accounts pay simple interest computed at the end of the year.How much of Nicos money was invested in each account.
Mathematics
1 answer:
Mazyrski [523]3 years ago
7 0

Answer:

Investment A = 3650

Investment B = 1350

Step-by-step explanation:

Given that:

Total interest earned = 332.50

Total Principal invested = 5000

Investment A:

Rate = 8%

Time = 1 year

Principal = a

Interest earned = 0.08a

Investment B:

Rate = 3%

Time = 1 year

Principal = b

Interest earned = 0.03b

a + b = 5000 ____(1)

0.08a + 0.03b = 332.50 - - - (2)

From (1)

a = 5000 - b

Into (2)

0.08(5000 - b) + 0.03b = 332.50

400 - 0.08b + 0.03b = 332.50

400 - 0.05b = 332.50

-0.05b = - 67.5

b = $1350

a = 5000 - b

a = 5000 - 1350

a = $3650

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The makers of Mini-Oats cereal have an automated packaging machine that is set to fill boxes with 24 ounces of cereal. At variou
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Answer:

1. A is the null hypothesis. The null hypothesis is the statement in which everything is operating as expected; nothing unusual is going on.

2. C is the alternative hypothesis. The problem says that you are looking to see whether or not the machine is filling with an average of 24 ounces, so it could be over or under filling. B only accounts for under filling.

Step-by-step explanation:

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4 years ago
A vineyard has 145 acres of Chardonnay grapes. A particular soil supplement requires 5.50 grams for every square meter of vineya
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3230 kilograms of the soil supplement are required for the entire vineyard

<h3>Further explanation</h3>

Some units that need to be recalled are as follows :

<em>1 km = 1000 m = 10³ m</em>

<em>1 km² = 1000000 m² = 10⁶ m</em>

<em>1 km² = 247 acres</em>

<em>1 kg = 1000 g</em>

Let's tackle the problem now!

A vineyard has 145 acres of Chardonnay grapes.

145 ~ acres = \frac{145}{247} \times 1 ~ km^2

145 ~ acres = \frac{145}{247} ~ km^2

\boxed {145 ~ acres \approx 0.587 ~ km^2}

A particular soil supplement requires 5.50 grams for every square meter of vineyard.

1 ~ m^2 \rightarrow 5.50 ~ gram

1 ~ km^2 = 10^6 ~ m^2 \rightarrow 5.50 \times 10^6 ~ gram

1 ~ km^2 \rightarrow 5.50 \times 10^6 \times 10^{-3} ~ kg

\boxed {1 ~ km^2 \rightarrow 5.50 \times 10^3 ~ kg}

145 ~ acres = \frac{145}{247} ~ km^2 \rightarrow \frac{145}{247} \times 5.50 \times 10^3 ~ kg

145 ~ acres \rightarrow \frac{797500}{247} ~ kg

145 ~ acres \rightarrow 3230 ~ kg

<h2>Conclusion :</h2>

It required 797500/247 kg ≈ 3230 kg of the soil supplement for the entire vineyard

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<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic

Keywords: Addition , Subtraction , Multiplication , Division , Number , Expression , Time , Duration , Write

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Answer:

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Answer:

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