The effective rate of interest will be 9.10 %.
<h3>What is compound interest?</h3>
Compound interest is applicable when there will be a change in principle amount after the given time period.
Let's say you have given 100 for two years with a 10% rate of interest annually than for the second-year principle amount will become 110 instant of 100.
Given for simple interest
Principle amount = $650
Rate of interest = 12%
Time period = 7 months.
Interest= PRT/100
Interest= 650× 12 × 7/100 = 546
So final amount = 650 + 546 = $1196
By compound interest
1196 = 650![[1 + R/100]^{7}](https://tex.z-dn.net/?f=%5B1%20%2B%20R%2F100%5D%5E%7B7%7D)
R = 9.10%
Hence the effective rate of interest will be 9.10%.
For more information about compound interest,
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Answer:The number of days it will take to sell the same amount of cookies is 3 and the number of tubs that will be sold is 27
Step-by-step explanation:
Let x represent the number of days it will take either of them to sell the same number of tubs.
Let y represent the total number of tubs that that Joseph will sell in x days.
Let z represent the total number of tubs that that Dwayne will sell in x days.
Joseph has already sold 3 tubs. If Joseph starts selling 8 tubs per day, it means that in x days, the number of tubs that he will sell will be
y = 8x + 3
Dwayne hasn't sold any yet. If Dwayne begins selling 9 tubs per day, it means that in x days, the number of tubs that he will sell will be
z = 9x
To determine the number of days it will take to sell the same amount of cookies, we will equate y to z. It becomes
8x + 3 = 9x
9x - 8x = 3
x = 3
The number of tubs that each will sell will be 9x = 9×3 = 27
The only incorrect statement is C)
The athlete was biking between [1,3] and running between [3,6]. The durations of 2 and 3 are not equal.
The answer is False a cylinder is not a prism because a cylinder has curved sides