The following data points represent the total weight loss

How much more interest will Maria receive if she invests $1,000 for one year at x percent annual interest, compounded semiannual

notka56 [123]

Answer:

$0.025x² . . . where x is a number of percentage points

Step-by-step explanation:

The multiplier for semi-annual compounding will be ...

(1 + x/2)² = 1 + x + x²/4

The multiplier for annual compounding will be ...

1 + x

The multiplier for semiannual compounding is greater by ...

(1 + x + x²/4) - (1 + x) = x²/4

Maria's interest will be greater by $1000×(x²/4) = $250x², where x is a decimal fraction.

If x is a percent value, as in x = 6 when x percent = 6%, then the difference amount is ...

$250·(x/100)² = $0.025x² . . . where x is a number of percentage points

_____

<u>Example</u>:

For x percent = 6%, the difference in interest earned on $1000 for one year is $0.025×6² = $0.90.

3 0

3 years ago

A full bag of dog food weighs 5 1/2 pounds.

liubo4ka [24]

171,008 is the correct answer,,,

5 0

3 years ago

Read 2 more answers

Military radar and missile detection systems are designed to warn a country of enemy attacks. A reliability question deals with

Nadusha1986 [10]

Answer:

Step-by-step explanation:

Given that a particular detection system has a 0.83 probability of detecting a missile attack.

Also each system is independent of the other to detect missile attack.

a) the probability that a single detection system will detect an attack= $0.83$

b) the probability that at least one of the systems will detect the attack given two systems= 1-Prob no system detects

= $1-(1-0.83)(1-0.83)\\\\=1-0.0289\\=0.9711$

c) If three systems are installed, the probability that at least one of the systems will detect the attack

= 1- none of the three systems detect attack

$= (1-0.17^3)\\=1-0.004913\\=0.995087$

d) We find that probability of detecting is more if we increase the system form 1 to 2 and 2 to 3.

Hence for safety and defence purpose multiple detection system is recommended.

7 0

3 years ago

Relative risk is an ideal form of measurement for a retrospective cohort study design because it allows researchers to recruit b

kolezko [41]

This indicates that the individuals taking vitamin C were 53% less likely to catch a cold and that taking vitamin C has a protective effect, making them less likely to catch a cold.

This is further explained below.

<h3>What is vitamin C?</h3>

Generally, Vitamin C, which is also known as ascorbic acid, is an essential nutrient for the expansion, maturation, and maintenance of all of the body's tissues. It plays an important role in the synthesis of collagen, the absorption of iron, the appropriate functioning of the immune system, the healing of wounds, and the preservation of cartilage, bones, and teeth.

In conclusion, This suggests that those persons who took vitamin C were 53% less likely to develop a cold and that taking vitamin C has a protective impact, making them less likely to catch a cold.

Additionally, this implies that taking vitamin C makes one less likely to catch a cold.

Read more about vitamin C

brainly.com/question/15080220

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CQ

Researchers have conducted a study and determined that the relative risk for developing a cold for individuals taking vitamin C is 0.47 when compared to the number of participants in the study who developed a cold while not taking vitamin C. This is an indication of which of the following?

6 0

1 year ago

Claire traveled 701 miles. She drove 80 miles every day. On the last day of her trip she only drove 61 miles. Write and solve an

mina [271]

Answer:

Claire traveled for 9 days.

Step-by-step explanation:

Given:

Total Distance traveled = 701 miles

Distance traveled each day = 80 miles

Distance traveled on last day = 61 miles

We need to find the number of days Claire traveled.

Solution:

Let the number of days Claire traveled be denoted by 'd'.

Now we can say that;

Total Distance traveled is equal to sum of Distance traveled each day multiplied by number of days and Distance traveled on last day.

framing in equation form we get;

$80d+61=701$

Now Subtracting both side by 61 using Subtraction Property of Equality we get;

$80d+61-61=701-61\\\\80d = 640$

Now Dividing both side by 80 we get;

$\frac{80d}{80}=\frac{640}{80}\\\\d=8$

Hence Claire traveled 80 miles in 8 days and 61 miles on last day making of total <u>9 days</u> of travel.

7 0

3 years ago