To solve this, we are going to use the compound interest formula:

where

is the final amount after

years

is the initial investment

is the interest rate in decimal form

is the number of times the interest is compounded per year
For the first 4 years we know that:

,

,

, and since the problem is not specifying how often the interest is communed, we are going to assume it is compounded annually; therefore,

. Lest replace those values in our formula:




Now, for the next 6 years the intial investment will be the final amount from our previous step, so

. We also know that:

,

, and

. Lets replace those values in our formula one more time:




We can conclude that Collin will have <span>£3691.41 in his account after 10 years.</span>
The volume of the removed portion is 35 cm³.
Step-by-step explanation:
Given,
The length× width× height (L×B×H) of the outer part = 3 cm×3 cm×7 cm
The length× width× height (l×b×h) of the inner part = 2 cm×2 cm×7 cm
To find the volume of the removed portion.
Formula
The volume of the removed portion = volume of outer part - volume of inner part
Volume of rectangular prism = l×b×h
Now,
Volume of outer part = 3×3×7 cm³ = 63 cm³
Volume of inner part = 2×2×7 cm³ = 28 cm³
Hence,
The volume of the removed portion = 63-28 cm³ = 35 cm³
<span>Using the kinematic equations:
(final velocity)^2 = (initial velocity)^2 - 2 * acceleration * distance
Assuming the acceleration/deceleration on the car is constant from a constant force on the brakes. Converting from mph to m/s using 0.447 (so 34 mph is 15.2 m/s)
(0)^2 = (15.2)^2 - 2 * acceleration * 29
acceleration = 4.0 m/s^2
Had the car been going 105.4 mph (47.1 m/s)
(0)^2 = (47.1)^2 - 2 * 4 * distance
distance = 277 meters</span>
Answer:
The correct answer is:
Negative StartFraction 9 over 4 EndFraction divided by two-thirds
i.e.

Step-by-step explanation:
We have to find equivalent expression to :
Negative 2 and one-fourth divided by negative two-thirds
i.e.

We have to convert the the mixed fraction form
to simpler
fraction form.
Let us learn the concept first.
Mixed fraction is combination of a whole number and a fraction.
Expression of the form
have the following understanding:
c is the divider
b is the remainder and
a is the quotient.
To convert mixed fraction to fraction we can use the following:


Hence

i.e. the given expression is equivalent to :
Negative StartFraction 9 over 4 EndFraction divided by two-thirds