Find 10-3. Write the subtraction fact two ways.
1 answer:
This is an exercise in fact families. A fact family consists of four related facts: two addition sentences and two subtraction sentences. The task asks for the subtraction fact written two ways.
Δ Δ Δ Δ Δ
If you remove 3 triangles, how many remain? Seven remain:
Δ Δ Δ Δ Δ
Δ Δ
So subtracting 3 from 10 gives:
Second way. Again begin with the same 10 triangles:Δ Δ Δ Δ Δ
Δ Δ Δ Δ Δ
This time remove 7 triangles; the leftovers are 3:
Δ Δ Δ
Thus subtracting 7 from 10 yields:
First way. Start with 10 objects—imagine 10 triangles:
Δ Δ Δ Δ Δ
If you remove 3 triangles, how many remain? Seven remain:
Δ Δ Δ Δ Δ
Δ Δ
So subtracting 3 from 10 gives:
Second way. Again begin with the same 10 triangles:Δ Δ Δ Δ Δ
Δ Δ Δ Δ Δ
This time remove 7 triangles; the leftovers are 3:
Δ Δ Δ
Thus subtracting 7 from 10 yields:
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Answer:
A sum of $12,000 should be allocated at an interest rate of 5.25%, while $13,000 should be put in at 4%.
Step-by-step explanation:
Recall that
The simple interest formula is given by
where
I represents the total interest earned,
P is the initial investment,
r stands for the interest rate, and
t is the number of time periods.
Define
x as the amount invested at 5.25%,
and (25,000 - x) as the amount put in at 4%.
From the problem,
Plugging these into the formula:
Now, isolate x:
Hence, investing $12,000 at 5.25% and $13,000 at 4% meets the required interest condition.