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ollegr [7]
3 years ago
12

In investing $6,200 of a couple's money, a financial planner put some of it into a savings account paying 4% annual simple inter

est. The rest was invested in a riskier mini-mall development plan paying 9% annual simple interest. The combined interest earned for the first year was $428. How much money was invested at each rate?
Mathematics
1 answer:
ddd [48]3 years ago
7 0

Answer:

$ 2,600 was invested at 4% and $ 3,600 was invested at 9%.

Step-by-step explanation:

Given that in investing $ 6,200 of a couple's money, a financial planner put some of it into a savings account paying 4% annual simple interest, and the rest was invested in a riskier mini-mall development plan paying 9% annual simple interest, and the combined interest earned for the first year was $ 428, to determine how much money was invested at each rate, the following calculation must be performed:

3000 x 0.04 + 3200 x 0.09 = 408

2500 x 0.04 + 3700 x 0.09 = 433

2600 x 0.04 + 3600 x 0.09 = 428

Therefore, $ 2,600 was invested at 4% and $ 3,600 was invested at 9%.

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In a survey of 1008 ​adults, a polling agency​ asked, "When you​ retire, do you think you will have enough money to live comfort
Olin [163]

Answer:

[0.4979, 0.5479]

Step-by-step explanation:

-We first determine the sample proportion:

\hat p=\frac{x}{n}\\\\=\frac{528}{1008}\\\\=0.5238

-The confidence  intervals of a sample proportion is calculated using the formula:

CI=\hat p\pm z\sqrt{\frac{\hat p(1-\hat p}{n}}

#We substitute for the sample proportion and z value to get the Confidence interval:

CI=\hat p\pm z\sqrt{\frac{\hat p(1-\hat p}{n}}\\\\=0.5238\pm 1.645\times \sqrt{\frac{0.5238\times0.4762}{1008}}\\\\=0.5238\pm0.0259\\\\=[0.4979,0.5497]

Hence, the 90% confidence intervals is [0.4979,0.5479]

7 0
3 years ago
What is the ratio 15 to 35 written as a fraction in lowest terms?
dmitriy555 [2]
B 3/7 because 15 divided by 5 = 3 and 35 divided by 5 = 7
4 0
3 years ago
Read 2 more answers
type the correct answer in the box.use numeral instead of words. if necessary, use / for the fraction bar.
Elodia [21]
It’s 63°, hope this helps!
3 0
3 years ago
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Hannah has 4 liters of cooking oil in a bottle. She used 1 1/2 liters of the oil. How much liters of oil are left in the bottle?
Scrat [10]

Hannah has 2\frac{1}{2} liters of oil left in the bottle.

Step-by-step explanation:

Given,

Quantity of oil in bottle = 4 liters

Quantity used by Hannah = 1\frac{1}{2} = \frac{3}{2}

We will subtract the quantity used from the total quantity.

Oil left = Total oil - Oil used

Oil\ left=4-\frac{3}{2}

Taking LCM

Oil\ left=\frac{8-3}{2}\\\\Oil\ left=\frac{5}{2}\\\\Oil\ left=2\frac{1}{2}

Hannah has 2\frac{1}{2} liters of oil left in the bottle.

Keywords: fraction, subtraction

Learn more about fractions at:

  • brainly.com/question/4163549
  • brainly.com/question/4168505

#LearnwithBrainly

7 0
3 years ago
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The scale js 2 inches : 4 feet , find the scale factor
sammy [17]
2 in : 4 ft
Convert to like units
2 in : 48 in
Reduce and drop the units
1 : 24
5 0
4 years ago
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